
Time bar (total: 12.9s)
| 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 28 to 18 computations (35.7% saved)
ival-mult: 79.0ms (33.1% of total)ival-div: 67.0ms (28.1% of total)ival-pow: 44.0ms (18.5% of total)ival-sqrt: 16.0ms (6.7% of total)ival-cos: 14.0ms (5.9% of total)ival-add: 13.0ms (5.5% of total)const: 4.0ms (1.7% of total)backward-pass: 1.0ms (0.4% of total)| 1.6s | 8256× | 0 | valid |
ival-mult: 385.0ms (28.7% of total)ival-pow: 365.0ms (27.2% of total)ival-cos: 273.0ms (20.4% of total)ival-div: 181.0ms (13.5% of total)ival-sqrt: 70.0ms (5.2% of total)ival-add: 45.0ms (3.4% of total)const: 19.0ms (1.4% of total)backward-pass: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 1012× | neg-mul-1 |
| 1002× | distribute-lft-neg-in |
| 852× | *-lowering-*.f32 |
| 852× | *-lowering-*.f64 |
| 840× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 246 |
| 1 | 192 | 240 |
| 2 | 627 | 240 |
| 3 | 2281 | 240 |
| 4 | 4124 | 240 |
| 5 | 6814 | 240 |
| 0 | 17 | 24 |
| 1 | 33 | 24 |
| 2 | 76 | 24 |
| 3 | 202 | 24 |
| 4 | 600 | 24 |
| 5 | 1133 | 24 |
| 6 | 1541 | 24 |
| 7 | 1603 | 24 |
| 8 | 1620 | 24 |
| 9 | 1631 | 24 |
| 10 | 1633 | 24 |
| 11 | 1633 | 24 |
| 12 | 1633 | 24 |
| 0 | 1633 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))) |
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))) |
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))) |
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))) |
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2)))) |
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2)))) |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2)))) |
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))) |
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2)))) |
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2)))) |
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2)))) |
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))) |
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2)))) |
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))) |
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2)))) |
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2)))) |
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ (/ (* U 1/2) K) (cos (/ J 2))) 2)))) |
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2)))) |
(* (* (cos (/ K 2)) (* -2 U)) (sqrt (+ 1 (pow (/ J (* (cos (/ K 2)) (* 2 U))) 2)))) |
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2)))) |
(* (* (* -2 J) (cos (* U 1/2))) (sqrt (+ 1 (pow (/ K (* (* J 2) (cos (* U 1/2)))) 2)))) |
(abs K)
(abs U)
(negabs J)
| 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)))) |
| 31 | 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))))) |
| 1 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 1 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) J) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | J |
| 0 | 78 | (4.277275484162494e-117 1.1418642491043989e-117 8.033890506716816e-183) | 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 | - | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| 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 | - | U |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) J) |
| 0 | 125 | (5.005462865465355e+85 4.028931249510181e+110 1.9540027367333417e+298) | 0 | - | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 K #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | K |
| 148.0ms | 512× | 0 | valid |
Compiled 255 to 53 computations (79.2% saved)
ival-sqrt: 39.0ms (43.4% of total)ival-mult: 21.0ms (23.4% of total)ival-cos: 12.0ms (13.3% of total)ival-div: 7.0ms (7.8% of total)ival-pow: 6.0ms (6.7% of total)ival-add: 3.0ms (3.3% of total)const: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)Compiled 27 to 17 computations (37% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.4% | (*.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))))) |
| ▶ | 72.7% | (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
Compiled 54 to 34 computations (37% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #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))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | #s(literal -2 binary64) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 84.2% | (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 | 99.8% | (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| ✓ | accuracy | 88.6% | (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| ✓ | accuracy | 84.2% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
| 852× | *-lowering-*.f32 |
| 852× | *-lowering-*.f64 |
| 762× | associate-*r/ |
| 758× | /-lowering-/.f32 |
| 758× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 221 |
| 1 | 56 | 221 |
| 2 | 108 | 221 |
| 3 | 231 | 221 |
| 4 | 644 | 221 |
| 5 | 1132 | 221 |
| 6 | 1517 | 221 |
| 7 | 1564 | 221 |
| 8 | 1564 | 221 |
| 9 | 1564 | 221 |
| 0 | 1564 | 221 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))) |
-2 |
(* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))) |
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) |
(+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)) |
1 |
(pow (/ (/ U (* J 2)) (cos (/ K 2))) 2) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/ U (* J 2)) |
U |
(* J 2) |
J |
2 |
(cos (/ K 2)) |
(/ K 2) |
K |
(* J (cos (/ K 2))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(/ U (* (* 2 J) (cos (/ K 2)))) |
(* (* 2 J) (cos (/ K 2))) |
(* 2 J) |
| Outputs |
|---|
(* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
-2 |
#s(literal -2 binary64) |
(* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow (/ (/ U (* J 2)) (cos (/ K 2))) 2) |
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/ U (* J 2)) |
(/.f64 (/.f64 U J) #s(literal 2 binary64)) |
U |
(* J 2) |
(*.f64 J #s(literal 2 binary64)) |
J |
2 |
#s(literal 2 binary64) |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
(* J (cos (/ K 2))) |
(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/ U (* (* 2 J) (cos (/ K 2)))) |
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* (* 2 J) (cos (/ K 2))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) |
(* 2 J) |
(*.f64 J #s(literal 2 binary64)) |
| 82.0ms | 256× | 0 | valid |
Compiled 238 to 27 computations (88.7% saved)
ival-mult: 18.0ms (38.9% of total)ival-div: 8.0ms (17.3% of total)ival-cos: 6.0ms (13% of total)ival-pow: 6.0ms (13% of total)ival-add: 4.0ms (8.6% of total)ival-sqrt: 4.0ms (8.6% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))> |
#<alt (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))> |
#<alt (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)> |
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))> |
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))> |
#<alt (* (* -2 J) (cos (/ K 2)))> |
#<alt (* (* 2 J) (cos (/ K 2)))> |
#<alt (* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))))> |
#<alt -2> |
#<alt (* -2 J)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))> |
#<alt (+ 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)))))))> |
#<alt (+ 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)))))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))> |
#<alt (* -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))))))> |
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#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | U | @ | 0 | (/ (/ U (* J 2)) (cos (/ K 2))) |
| 4.0ms | K | @ | inf | (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) |
| 3.0ms | K | @ | -inf | (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) |
| 2.0ms | K | @ | 0 | (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) |
| 2.0ms | U | @ | 0 | (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2) |
| 1× | batch-egg-rewrite |
| 4676× | *-lowering-*.f32 |
| 4676× | *-lowering-*.f64 |
| 3506× | accelerator-lowering-fma.f32 |
| 3506× | accelerator-lowering-fma.f64 |
| 2828× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 142 |
| 1 | 124 | 142 |
| 2 | 648 | 142 |
| 3 | 6236 | 142 |
| 0 | 8319 | 142 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) |
(* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))) |
(pow (/ (/ U (* J 2)) (cos (/ K 2))) 2) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(* (* (* -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))) |
(* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))) |
-2 |
(* -2 J) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))))) |
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(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) (-.f64 #s(literal 0 binary64) J)) #s(literal 2 binary64)) |
#s(literal -2 binary64) |
(+.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))) |
(neg.f64 (*.f64 J #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) J)) |
(*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 2 binary64)) |
| 1× | egg-herbie |
| 11194× | accelerator-lowering-fma.f32 |
| 11194× | accelerator-lowering-fma.f64 |
| 7334× | *-lowering-*.f32 |
| 7334× | *-lowering-*.f64 |
| 3242× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 8483 |
| 1 | 1602 | 8228 |
| 2 | 6344 | 7800 |
| 0 | 8193 | 7448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* J (cos (* 1/2 K))) |
(+ (* 1/8 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))) |
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* 1/2 U) |
(* U (+ 1/2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))) |
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 U) |
(* -1 (* U (+ 1/2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))) |
(* 1/2 U) |
(+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U)))) |
(+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U)))) |
(* J (cos (* 1/2 K))) |
(* J (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))) |
(* J (cos (* 1/2 K))) |
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))) |
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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))))))))))) |
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))) (* (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))))))))))))))) |
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))) (* (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)))))))) (* (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)))))))))))))))))))) |
(* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (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))))))) |
(* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (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))))))) |
(* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (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))))))) |
(* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (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))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U J)) |
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J))))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* 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))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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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))))))))))))) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
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(* -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)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
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(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 J) |
(+ (* -1/4 (* J (pow K 2))) (* 2 J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
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(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 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))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 J J)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) |
(+ 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))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(*.f64 U (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))) |
(* -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))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (-.f64 #s(literal 0 binary64) U)) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) 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) |
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (-.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 J (*.f64 J (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 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 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))))) J) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 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)))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (/.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 6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 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)))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (/.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 6 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) |
(+ (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))))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 K K)) (/.f64 (*.f64 U U) (*.f64 J J))))) |
(+ (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))))))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))))) |
(+ (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))))))))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.f64 K (*.f64 K (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64))) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (/.f64 (*.f64 U U) (*.f64 J J)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(+ (* 1/8 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))) |
(+.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* J (cos (* 1/2 K)))))))) |
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U |
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U |
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(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) J)) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) J)) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) |
(+ (* -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)))))))))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (+.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) #s(literal -2 binary64)) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (+.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 U (/.f64 U J))) (+.f64 #s(literal 1/32 binary64) (*.f64 #s(literal -1/256 binary64) (*.f64 K K)))) (*.f64 (*.f64 K K) (*.f64 J (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))))))))) |
(+ (* -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)))))))))))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (+.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) #s(literal -2 binary64)) (*.f64 (*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (*.f64 (*.f64 U (/.f64 U J)) #s(literal -1/256 binary64))))) (*.f64 K (*.f64 K (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -1/46080 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (+.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1/12288 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64))) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (/.f64 (*.f64 U U) (*.f64 J J)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (*.f64 #s(literal -1/16 binary64) (*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))))))))) #s(literal -2 binary64)) (*.f64 (*.f64 K K) (*.f64 K K)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.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)) |
(* -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)) |
(* -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)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
Compiled 32624 to 3776 computations (88.4% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 929 | 10 | 939 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 931 | 10 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| 49.2% | (/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) | |
| 39.1% | (-.f64 #s(literal 0 binary64) U) | |
| 52.5% | (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| 39.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (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))))) | |
| ▶ | 72.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))) |
| ▶ | 64.4% | (*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
| ▶ | 72.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
| 70.0% | (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) | |
| ▶ | 51.6% | (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ▶ | 15.0% | U |
Compiled 558 to 356 computations (36.2% saved)
| 1× | egg-herbie |
Found 33 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 384 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) |
| ✓ | cost-diff | 384 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
| ✓ | cost-diff | 384 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))) |
| ✓ | cost-diff | 512 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))) |
| ✓ | cost-diff | 6208 | (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 6208 | (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 6208 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6208 | (*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | J |
| ✓ | cost-diff | 0 | (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | cost-diff | 0 | #s(literal -2 binary64) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | cost-diff | 0 | U |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) |
| ✓ | cost-diff | 384 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) |
| ✓ | cost-diff | 384 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.5% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))) |
| ✓ | accuracy | 84.6% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
| ✓ | accuracy | 84.2% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | accuracy | 99.8% | (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.5% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
| ✓ | accuracy | 84.2% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) |
| 3536× | associate-*r/ |
| 3268× | *-lowering-*.f32 |
| 3268× | *-lowering-*.f64 |
| 2894× | associate-*l/ |
| 2804× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 353 |
| 1 | 78 | 351 |
| 2 | 189 | 313 |
| 3 | 456 | 291 |
| 4 | 881 | 291 |
| 5 | 1755 | 291 |
| 6 | 2160 | 291 |
| 7 | 2365 | 291 |
| 8 | 2449 | 291 |
| 9 | 2473 | 291 |
| 10 | 2473 | 291 |
| 11 | 2645 | 291 |
| 12 | 2886 | 291 |
| 13 | 3508 | 291 |
| 14 | 3578 | 291 |
| 15 | 3578 | 291 |
| 16 | 3578 | 291 |
| 17 | 7552 | 291 |
| 18 | 7659 | 291 |
| 19 | 7659 | 291 |
| 0 | 8847 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
(+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))) |
1 |
(/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))) |
(* (* (/ U J) (/ U J)) 1/4) |
(* (/ U J) (/ U J)) |
(/ U J) |
U |
1/4 |
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) |
1/2 |
(* 1/2 (cos (* 2 (/ K 2)))) |
(cos (* 2 (/ K 2))) |
(* 2 (/ K 2)) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (cos (* 1/2 K))) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) |
(sqrt (+ 1 (pow (/ U (* 2 J)) 2))) |
(+ 1 (pow (/ U (* 2 J)) 2)) |
(pow (/ U (* 2 J)) 2) |
(/ U (* 2 J)) |
(* 2 J) |
(* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))) |
(/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))) |
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
(/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
2 |
#s(literal 2 binary64) |
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))) |
(+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))) |
1 |
#s(literal 1 binary64) |
(/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))) |
(/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)) |
(* (* (/ U J) (/ U J)) 1/4) |
(*.f64 U (/.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) J)) |
(* (/ U J) (/ U J)) |
(*.f64 U (/.f64 (/.f64 U J) J)) |
(/ U J) |
(/.f64 U J) |
U |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (cos (* 2 (/ K 2)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(cos (* 2 (/ K 2))) |
(cos.f64 K) |
(* 2 (/ K 2)) |
K |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cos (* 1/2 K)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(* 1/2 K) |
(/.f64 K #s(literal 2 binary64)) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64))))) |
(sqrt (+ 1 (pow (/ U (* 2 J)) 2))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64)))) |
(+ 1 (pow (/ U (* 2 J)) 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64))) |
(pow (/ U (* 2 J)) 2) |
(/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64)) |
(/ U (* 2 J)) |
(/.f64 (/.f64 U J) #s(literal 2 binary64)) |
(* 2 J) |
(*.f64 J #s(literal 2 binary64)) |
(* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))))) |
(/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))))) |
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))))) |
(/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))) |
| 150.0ms | 256× | 0 | valid |
Compiled 506 to 38 computations (92.5% saved)
ival-div: 37.0ms (40.1% of total)ival-mult: 24.0ms (26% of total)ival-cos: 18.0ms (19.5% of total)ival-sqrt: 6.0ms (6.5% of total)ival-add: 4.0ms (4.3% of total)ival-pow: 3.0ms (3.2% of total)const: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))> |
#<alt (* (* -2 J) (cos (/ K 2)))> |
#<alt (* J (cos (* 1/2 K)))> |
#<alt (cos (* 1/2 K))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* 1/2 K)> |
#<alt (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))> |
#<alt (pow (/ U (* 2 J)) 2)> |
#<alt (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))))> |
#<alt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))> |
#<alt (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))> |
#<alt U> |
#<alt -2> |
#<alt J> |
#<alt (+ 1 (pow (/ U (* 2 J)) 2))> |
#<alt (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))> |
#<alt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (+ 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)))))))))> |
#<alt (+ 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)))))))))> |
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (* -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))))))))> |
#<alt (* -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)))))))))> |
#<alt (* -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))))))))))> |
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)> |
#<alt (/ (+ (* 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)> |
#<alt (/ (+ (* 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)> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))> |
#<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))))))))> |
#<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)))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))> |
#<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))))))))> |
#<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)))))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ (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)))))))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
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#<alt (/ (- (+ (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* 64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4)))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2)))) (pow U 2))> |
#<alt (/ (- (+ (* -256 (/ (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 6))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))))) (pow U 2))> |
#<alt (* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))> |
#<alt (/ (+ (* -16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (pow U 2))> |
#<alt (/ (- (+ (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* 64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4)))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2)))) (pow U 2))> |
#<alt (/ (- (+ (* -256 (/ (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 6))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))))) (pow U 2))> |
#<alt (* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))> |
#<alt (* (pow J 2) (+ (* -16 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 4))) (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2)))))> |
#<alt (* (pow J 2) (+ (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (* (pow J 2) (- (* 64 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 6))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4)))))))> |
#<alt (* (pow J 2) (+ (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (* (pow J 2) (- (* (pow J 2) (- (* -256 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 8))) (* -64 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ (* -1/16 (/ (* (pow K 2) (pow U 2)) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))> |
#<alt (+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))> |
#<alt (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/64 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | K | @ | -inf | (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
| 2.0ms | K | @ | 0 | (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
| 2.0ms | U | @ | 0 | (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
| 2.0ms | K | @ | 0 | (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
| 2.0ms | K | @ | inf | (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
| 1× | batch-egg-rewrite |
| 4122× | /-lowering-/.f32 |
| 4122× | /-lowering-/.f64 |
| 3902× | *-lowering-*.f32 |
| 3902× | *-lowering-*.f64 |
| 3084× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 272 |
| 1 | 175 | 235 |
| 2 | 1224 | 219 |
| 0 | 8489 | 211 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) |
(* (* -2 J) (cos (/ K 2))) |
(* J (cos (* 1/2 K))) |
(cos (* 1/2 K)) |
(* -2 (* J (cos (* 1/2 K)))) |
(* 1/2 K) |
(sqrt (+ 1 (pow (/ U (* 2 J)) 2))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) |
(pow (/ U (* 2 J)) 2) |
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))) |
(* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))) |
(+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))) |
(/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))) |
U |
-2 |
J |
(+ 1 (pow (/ U (* 2 J)) 2)) |
(/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))) |
(/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
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(pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 7568× | accelerator-lowering-fma.f32 |
| 7568× | accelerator-lowering-fma.f64 |
| 6498× | *-lowering-*.f32 |
| 6498× | *-lowering-*.f64 |
| 5278× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 852 | 14088 |
| 1 | 2835 | 13744 |
| 2 | 7874 | 13741 |
| 0 | 8113 | 12721 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))) |
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))) |
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))) |
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))) |
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) |
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1 |
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J |
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1 |
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1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
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(+ 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)))))) |
(* 1/2 (/ U J)) |
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
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(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
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(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
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1 |
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))) |
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(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))) |
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(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
(* U (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))) |
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(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))) |
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1 |
(+ 1 (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* (pow U 2) (- (* 3/128 (/ (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) (+ (* -5/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 3/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(* 2 (* (/ J U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) |
(/ (+ (* -4 (* (/ (pow J 3) (pow U 2)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))) U) |
(/ (+ (* -4 (* (/ (pow J 3) (pow U 2)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* -1/4 (* (/ (+ (* -64 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* J (pow U 4))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* J (sqrt (+ 1/2 (* 1/2 (cos K)))))))) U) |
(/ (+ (* -4 (* (/ (pow J 3) (pow U 2)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* -1/4 (* (/ (+ (* -64 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* J (pow U 4))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* -1/4 (* (/ (+ (* 2 (* (pow J 2) (* (+ 1/2 (* 1/2 (cos K))) (+ (* -64 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) (* 256 (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)))) (* J (pow U 6))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))))) U) |
(* -2 (* (/ J U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) |
(* -1 (/ (+ (* -4 (* (/ (pow J 3) (pow U 2)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))) U)) |
(* -1 (/ (+ (* -4 (* (/ (pow J 3) (pow U 2)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* -1/4 (* (/ (+ (* -64 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* J (pow U 4))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* J (sqrt (+ 1/2 (* 1/2 (cos K)))))))) U)) |
(* -1 (/ (+ (* -4 (* (/ (pow J 3) (pow U 2)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* -1/4 (* (/ (+ (* -64 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* J (pow U 4))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* -1/4 (* (/ (+ (* 2 (* (pow J 2) (* (+ 1/2 (* 1/2 (cos K))) (+ (* -64 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) (* 256 (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)))) (* J (pow U 6))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))))) U)) |
(* 2 (* (/ J U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) |
(* J (+ (* -4 (* (/ (pow J 2) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
(* J (+ (* 2 (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ 1 (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* -1/4 (* (* (pow J 2) (* U (+ (* -64 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6)))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))) |
(* J (+ (* 2 (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ 1 (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* (pow J 2) (+ (* -1/4 (* (* U (+ (* -64 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* -1/4 (* (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1/2 (* 1/2 (cos K))) (+ (* -64 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))))) (pow U 2))) (* 256 (/ (pow (+ 1/2 (* 1/2 (cos K))) 4) (pow U 8)))))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))))) |
1 |
(+ 1 (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/64 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (pow J 4))) (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/64 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 1/8 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/64 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (+ 1/2 (* 1/2 (cos K)))))) (pow J 6))) (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
1 |
(+ 1 (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/64 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (pow J 4))) (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/64 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 1/8 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/64 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (+ 1/2 (* 1/2 (cos K)))))) (pow J 6))) (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
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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)))))))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))) |
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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))))))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) |
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) |
1 |
(+ 1 (* 1/4 (/ (pow 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))))))) |
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(* 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) (+ 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) (+ 1/2 (* 1/2 (cos K)))))) |
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2)) |
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) (+ 1/2 (* 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 (* 1/4 (/ (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))))))))))) |
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(* 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)))))))))) |
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
U |
U |
U |
U |
U |
U |
U |
U |
U |
U |
U |
U |
J |
J |
J |
J |
J |
J |
J |
J |
J |
J |
J |
J |
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) (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) (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) (pow J 2))) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
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 |
(+ 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 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))) |
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* (pow U 2) (- (* 1/16 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -1/64 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/16 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) |
(/ (+ (* -16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (pow U 2)) |
(/ (- (+ (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* 64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4)))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2)))) (pow U 2)) |
(/ (- (+ (* -256 (/ (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 6))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))))) (pow U 2)) |
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) |
(/ (+ (* -16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (pow U 2)) |
(/ (- (+ (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* 64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4)))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2)))) (pow U 2)) |
(/ (- (+ (* -256 (/ (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 6))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))))) (pow U 2)) |
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) |
(* (pow J 2) (+ (* -16 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 4))) (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))))) |
(* (pow J 2) (+ (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (* (pow J 2) (- (* 64 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 6))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4))))))) |
(* (pow J 2) (+ (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (* (pow J 2) (- (* (pow J 2) (- (* -256 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 8))) (* -64 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (* -1/16 (/ (* (pow K 2) (pow U 2)) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/64 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(/ 1 (+ 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) (+ 1/2 (* 1/2 (cos K)))))))) |
(/ 1 (+ 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) (+ 1/2 (* 1/2 (cos K)))))))) |
(/ 1 (+ 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) (+ 1/2 (* 1/2 (cos K)))))))) |
(/ 1 (+ 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) (+ 1/2 (* 1/2 (cos K)))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(+ 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))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) |
(+ 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))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) |
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(*.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))) |
(*.f64 U (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(* 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)))))))) |
(*.f64 U (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))))) |
(* 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))))))))) |
(*.f64 U (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) |
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(* -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)))))))) |
(*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (neg.f64 U)) |
(* -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))))))))) |
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(* -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)))))))))) |
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))) |
(*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) |
(*.f64 U (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(*.f64 U (+.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (pow.f64 U #s(literal 6 binary64)))))) |
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(*.f64 (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) |
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) |
(*.f64 (+.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (pow.f64 U #s(literal 6 binary64))))) (neg.f64 U)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow K 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/4 binary64))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal 1/48 binary64))))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 K K) #s(literal -1/1440 binary64))))))) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64))))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/23040 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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+.f64 J (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (*.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 K K)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(+.f64 J (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 J (*.f64 K K))) (*.f64 J #s(literal 1/384 binary64))))))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -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)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
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1 |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 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))))))))) |
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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 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) |
(+ (* -1/16 (/ (* (pow K 2) (pow U 2)) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 U U) (*.f64 K K))) (*.f64 (*.f64 J J) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) |
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (-.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))))) |
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/64 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)))) (*.f64 (*.f64 J J) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (*.f64 #s(literal -1 binary64) (*.f64 K K))) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))) (/.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J)))) |
Compiled 68206 to 5144 computations (92.5% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1965 | 9 | 1974 |
| Fresh | 1 | 4 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1969 | 15 | 1984 |
| Status | Accuracy | Program |
|---|---|---|
| 49.2% | (/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) | |
| 39.1% | (-.f64 #s(literal 0 binary64) U) | |
| 52.5% | (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| 39.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (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))))) | |
| ▶ | 62.4% | (*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
| 45.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) | |
| 62.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) | |
| ▶ | 64.0% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
| ▶ | 44.3% | (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
| ▶ | 29.3% | (*.f64 J #s(literal -2 binary64)) |
| 28.6% | (*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) | |
| ▶ | 51.4% | (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | 51.6% | (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | 15.0% | U |
Compiled 627 to 428 computations (31.7% saved)
| 1× | egg-herbie |
Found 36 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
| ✓ | cost-diff | 6208 | (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 6208 | (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 6208 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6208 | (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | #s(literal -2 binary64) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | cost-diff | 256 | (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | cost-diff | 0 | #s(literal -2 binary64) |
| ✓ | cost-diff | 0 | J |
| ✓ | cost-diff | 0 | (*.f64 J #s(literal -2 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)) |
| ✓ | cost-diff | 128 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
| ✓ | accuracy | 95.8% | (/.f64 (/.f64 (*.f64 U U) J) J) |
| ✓ | accuracy | 88.7% | (/.f64 (*.f64 U U) J) |
| ✓ | accuracy | 88.6% | (*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
| ✓ | accuracy | 84.1% | (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) J) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) |
| ✓ | accuracy | 88.7% | (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
| ✓ | accuracy | 84.2% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) |
| ✓ | accuracy | 100.0% | (*.f64 J #s(literal -2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 95.7% | (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
| ✓ | accuracy | 84.2% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))) |
| 2456× | *-lowering-*.f32 |
| 2456× | *-lowering-*.f64 |
| 1458× | /-lowering-/.f32 |
| 1458× | /-lowering-/.f64 |
| 1104× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 334 |
| 1 | 97 | 318 |
| 2 | 277 | 304 |
| 3 | 879 | 304 |
| 4 | 2120 | 304 |
| 5 | 2487 | 304 |
| 6 | 2651 | 304 |
| 7 | 2813 | 304 |
| 8 | 2842 | 304 |
| 9 | 2852 | 304 |
| 10 | 2853 | 304 |
| 11 | 3332 | 304 |
| 12 | 3589 | 304 |
| 13 | 3748 | 304 |
| 14 | 3748 | 304 |
| 15 | 4367 | 304 |
| 16 | 4493 | 304 |
| 17 | 4734 | 304 |
| 18 | 4734 | 304 |
| 19 | 4734 | 304 |
| 20 | 4734 | 304 |
| 21 | 4734 | 304 |
| 22 | 4734 | 304 |
| 23 | 4734 | 304 |
| 0 | 4734 | 294 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))) |
(+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)) |
1 |
(/ (/ (/ (/ U J) 2) (/ 2 U)) J) |
(/ (/ (/ U J) 2) (/ 2 U)) |
(/ (/ U J) 2) |
(/ U J) |
U |
(/ 2 U) |
(* J -2) |
(* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K)))) |
(* (/ 1 (/ 1 J)) (cos (* 1/2 K))) |
(/ 1 (/ 1 J)) |
(/ 1 J) |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
(* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) |
(sqrt (+ 1 (pow (/ U (* 2 J)) 2))) |
(+ 1 (pow (/ U (* 2 J)) 2)) |
(pow (/ U (* 2 J)) 2) |
(/ U (* 2 J)) |
(* 2 J) |
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J) |
(/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) |
(* (cos (/ K 2)) -2) |
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2) |
(+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) |
(* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2) |
(/ (/ (/ (* U U) J) J) (+ (cos K) 1)) |
(/ (/ (* U U) J) J) |
(/ (* U U) J) |
(* U U) |
(+ (cos K) 1) |
(cos K) |
-1/2 |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))))))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
2 |
#s(literal 2 binary64) |
(sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))))) |
(+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)) |
(+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))) |
1 |
#s(literal 1 binary64) |
(/ (/ (/ (/ U J) 2) (/ 2 U)) J) |
(/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))) |
(/ (/ (/ U J) 2) (/ 2 U)) |
(/.f64 (/.f64 U (/.f64 J U)) #s(literal 4 binary64)) |
(/ (/ U J) 2) |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
(/ U J) |
(/.f64 U J) |
U |
(/ 2 U) |
(/.f64 #s(literal 2 binary64) U) |
(* J -2) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* (/ 1 (/ 1 J)) (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(/ 1 (/ 1 J)) |
J |
(/ 1 J) |
(/.f64 #s(literal 1 binary64) J) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))))) |
(sqrt (+ 1 (pow (/ U (* 2 J)) 2))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))))) |
(+ 1 (pow (/ U (* 2 J)) 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))) |
(pow (/ U (* 2 J)) 2) |
(/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))) |
(/ U (* 2 J)) |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
(* 2 J) |
(*.f64 J #s(literal 2 binary64)) |
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) #s(literal -1/2 binary64))) |
(/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) #s(literal -1/2 binary64))) |
(* (cos (/ K 2)) -2) |
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) #s(literal -1/2 binary64)) |
(+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2) |
(/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(/ (/ (/ (* U U) J) J) (+ (cos K) 1)) |
(/.f64 (/.f64 U (/.f64 (*.f64 J J) U)) (+.f64 #s(literal 1 binary64) (cos.f64 K))) |
(/ (/ (* U U) J) J) |
(/.f64 U (/.f64 (*.f64 J J) U)) |
(/ (* U U) J) |
(/.f64 U (/.f64 J U)) |
(* U U) |
(*.f64 U U) |
(+ (cos K) 1) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(cos K) |
(cos.f64 K) |
-1/2 |
#s(literal -1/2 binary64) |
| 187.0ms | 256× | 0 | valid |
Compiled 366 to 46 computations (87.4% saved)
ival-div: 37.0ms (36.6% of total)ival-mult: 22.0ms (21.8% of total)ival-cos: 18.0ms (17.8% of total)ival-pow: 13.0ms (12.9% of total)ival-add: 5.0ms (5% of total)ival-sqrt: 4.0ms (4% of total)const: 1.0ms (1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))))> |
#<alt (/ (/ (/ (/ U J) 2) (/ 2 U)) J)> |
#<alt (* (* -2 J) (cos (/ K 2)))> |
#<alt (* J -2)> |
#<alt (/ 1 (/ 1 J))> |
#<alt (* (/ 1 (/ 1 J)) (cos (* 1/2 K)))> |
#<alt (cos (* 1/2 K))> |
#<alt (* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K))))> |
#<alt (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))> |
#<alt (* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))> |
#<alt (pow (/ U (* 2 J)) 2)> |
#<alt (* 2 J)> |
#<alt (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)> |
#<alt (* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J)> |
#<alt (/ (* U U) J)> |
#<alt (/ (/ (* U U) J) J)> |
#<alt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))> |
#<alt J> |
#<alt -2> |
#<alt (+ 1 (pow (/ U (* 2 J)) 2))> |
#<alt (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2))> |
#<alt (* (cos (/ K 2)) -2)> |
#<alt (cos (/ K 2))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))> |
#<alt (+ 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))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))> |
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))> |
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))> |
#<alt (* -1/2 (/ U J))> |
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))> |
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))> |
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 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))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 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))))))> |
#<alt (* -1 (* U (cos (* 1/2 K))))> |
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))> |
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))> |
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))> |
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))> |
#<alt (* -1 (* U (cos (* 1/2 K))))> |
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))> |
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))> |
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))> |
#<alt (* U (cos (* 1/2 K)))> |
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))> |
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))> |
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
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#<alt (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))> |
#<alt (* 2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))> |
#<alt (* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))))> |
#<alt (* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))> |
#<alt (* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))> |
#<alt (* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))> |
#<alt (/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) J)> |
#<alt (/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) J)> |
#<alt (/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) J)> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))> |
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))> |
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))> |
#<alt -2> |
#<alt (- (* 1/4 (pow K 2)) 2)> |
#<alt (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)> |
#<alt (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt (* -2 (cos (* 1/2 K)))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow K 2)))> |
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))> |
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | K | @ | -inf | (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2) |
| 3.0ms | K | @ | 0 | (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2) |
| 2.0ms | J | @ | 0 | (* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J) |
| 2.0ms | K | @ | inf | (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2) |
| 2.0ms | K | @ | 0 | (* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J) |
| 1× | batch-egg-rewrite |
| 4812× | /-lowering-/.f32 |
| 4812× | /-lowering-/.f64 |
| 3066× | *-lowering-*.f32 |
| 3066× | *-lowering-*.f64 |
| 2380× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 240 |
| 1 | 237 | 212 |
| 2 | 2100 | 202 |
| 0 | 8480 | 193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))) |
(/ (/ (/ (/ U J) 2) (/ 2 U)) J) |
(* (* -2 J) (cos (/ K 2))) |
(* J -2) |
(/ 1 (/ 1 J)) |
(* (/ 1 (/ 1 J)) (cos (* 1/2 K))) |
(cos (* 1/2 K)) |
(* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K)))) |
(sqrt (+ 1 (pow (/ U (* 2 J)) 2))) |
(* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) |
(pow (/ U (* 2 J)) 2) |
(* 2 J) |
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2) |
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J) |
(/ (* U U) J) |
(/ (/ (* U U) J) J) |
(+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)) |
J |
-2 |
(+ 1 (pow (/ U (* 2 J)) 2)) |
(/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) |
(* (cos (/ K 2)) -2) |
(cos (/ K 2)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))) |
(/.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))) #s(literal -1 binary64))) |
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J |
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(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(neg.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 7216× | accelerator-lowering-fma.f32 |
| 7216× | accelerator-lowering-fma.f64 |
| 6682× | *-lowering-*.f32 |
| 6682× | *-lowering-*.f64 |
| 5106× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 838 | 10219 |
| 1 | 2800 | 9998 |
| 0 | 8023 | 9543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))))) |
(* 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)))))) |
(* -1/2 (/ 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))))))) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) 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)))))) |
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)))))) |
(* -1 (* U (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K))))) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3)))))) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3)))))))) |
(* -1 (* U (cos (* 1/2 K)))) |
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))) |
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
(* U (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
J |
J |
J |
J |
J |
J |
J |
J |
J |
J |
J |
J |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
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)))))) |
(* 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)))))) |
(* -1/2 (/ 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))))))) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) 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)))))) |
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)))))) |
(* -1 U) |
(+ (* -2 (/ (pow J 2) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))) |
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))) |
(* -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) |
(* -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) (* -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 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)) |
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))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* (pow U 2) (- (* 3/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 3/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))) |
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U) |
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U) |
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U) |
(* -1 (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))) |
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U)) |
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U)) |
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U)) |
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))) |
(* J (+ (* -2 (* (/ (pow J 2) (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))))) |
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))))))) |
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (pow J 2) (+ (* -1/2 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/2 (* (* (pow K 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) |
(+ (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* (pow K 2) (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (* -1/2 (* (* (pow K 2) (+ (* -1/2 (/ (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/32 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (/ (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos 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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1 (cos K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))))) |
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(* 2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) |
(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))))) |
(/ (pow U 2) J) |
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(/ (pow U 2) (pow J 2)) |
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(/ (pow U 2) (pow J 2)) |
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1 |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
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(* 1/4 (/ (pow U 2) (pow J 2))) |
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(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
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1 |
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1 |
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J |
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J |
J |
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J |
J |
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) (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) (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) (pow J 2))) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
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 |
(+ 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)))) |
(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -2 (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))) (* -2 (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (cos (* 1/2 K))) |
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))) |
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1 (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))) |
(* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K)))))) |
(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))) |
(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(* 2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K)))))) |
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) |
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K)))))) |
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) J) |
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) J) |
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) J) |
(* -2 (cos (* 1/2 K))) |
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(* -2 (cos (* 1/2 K))) |
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
-2 |
(- (* 1/4 (pow K 2)) 2) |
(- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2) |
(- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2) |
(* -2 (cos (* 1/2 K))) |
(* -2 (cos (* 1/2 K))) |
(* -2 (cos (* 1/2 K))) |
(* -2 (cos (* 1/2 K))) |
(* -2 (cos (* 1/2 K))) |
(* -2 (cos (* 1/2 K))) |
(* -2 (cos (* 1/2 K))) |
(* -2 (cos (* 1/2 K))) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))))) |
(+ 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)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal 4 binary64)))))))) |
(* 1/2 (/ U J)) |
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J) |
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) |
(* -1/2 (/ U J)) |
(/.f64 (*.f64 U #s(literal -1/2 binary64)) J) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) U)) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) U)) |
(* 1/2 (/ U J)) |
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/.f64 (+.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/.f64 (+.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (/.f64 (/.f64 (*.f64 J J) U) U) U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) |
(/.f64 (+.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 U (*.f64 U U)))))))) J) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))) |
(+ 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)))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))) |
(+ 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)))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64)))))) |
(* -1 (* U (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U)) |
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K))))) |
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3)))))) |
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (*.f64 J J) U) U))))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3)))))))) |
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U U)))))))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -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) (cos (* 1/2 K))) (pow J 2))))) |
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/4 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 U U) J))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))) |
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 U U) J))) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))) |
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(* U (cos (* 1/2 K))) |
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J |
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J |
J |
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J |
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J |
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(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
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1 |
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(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))) |
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U))))) (/.f64 #s(literal -2 binary64) U))) U) |
(* -2 J) |
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(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) |
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(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2)) |
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) J)))) |
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(* -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)))))))) |
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(* -1 U) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
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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 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
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(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))) |
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(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
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(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
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(* 2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
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(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(*.f64 U (+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(*.f64 U (+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 5 binary64)))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))))) |
(* 2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K)))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 U J)))) |
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 5 binary64)))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))))))) |
(* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 U J)))) |
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) J) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))) (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 U (sqrt.f64 #s(literal 1/2 binary64)))))) J) |
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) J) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 U (sqrt.f64 #s(literal 1/2 binary64)))))))) J) |
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) J) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))) (*.f64 (*.f64 J J) (-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (/.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 U (sqrt.f64 #s(literal 1/2 binary64)))))))) J) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))))) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)))))) |
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))))) |
-2 |
#s(literal -2 binary64) |
(- (* 1/4 (pow K 2)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K))) |
(- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) #s(literal -1/192 binary64))))) |
(- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) #s(literal 1/23040 binary64))))))) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
(* -2 (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
Compiled 53608 to 5571 computations (89.6% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2090 | 10 | 2100 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2098 | 17 | 2115 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.5% | (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
| 71.4% | (/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J)) | |
| ▶ | 71.5% | (/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| 29.3% | (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) | |
| ▶ | 39.1% | (-.f64 #s(literal 0 binary64) U) |
| ▶ | 52.5% | (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| 39.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (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))))) | |
| 14.0% | (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) | |
| 56.3% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) | |
| 45.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) | |
| 11.0% | (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) | |
| 10.4% | (*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) | |
| 43.5% | (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) | |
| ✓ | 29.3% | (*.f64 J #s(literal -2 binary64)) |
| ▶ | 28.6% | (*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
| ✓ | 51.6% | (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | 15.0% | U |
Compiled 613 to 427 computations (30.3% saved)
| 1× | egg-herbie |
Found 36 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | #s(literal 2 binary64) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
| ✓ | cost-diff | 0 | J |
| ✓ | cost-diff | 0 | (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))) |
| ✓ | cost-diff | 0 | #s(literal -2 binary64) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
| ✓ | cost-diff | 0 | U |
| ✓ | cost-diff | 0 | #s(literal 0 binary64) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) U) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | J |
| ✓ | cost-diff | 0 | (/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) |
| ✓ | accuracy | 99.8% | (*.f64 U (/.f64 U J)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | accuracy | 99.5% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) J) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
| ✓ | accuracy | 100.0% | (*.f64 K K) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))) |
| ✓ | accuracy | 88.7% | (*.f64 J (*.f64 K K)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) U) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) |
| ✓ | accuracy | 95.5% | (/.f64 J (/.f64 U (/.f64 J U))) |
| ✓ | accuracy | 88.9% | (/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 84.1% | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) |
| 5190× | accelerator-lowering-fma.f32 |
| 5190× | accelerator-lowering-fma.f64 |
| 4398× | *-lowering-*.f32 |
| 4398× | *-lowering-*.f64 |
| 2090× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 277 |
| 1 | 93 | 275 |
| 2 | 209 | 273 |
| 3 | 493 | 273 |
| 4 | 982 | 273 |
| 5 | 1603 | 273 |
| 6 | 2850 | 273 |
| 7 | 3220 | 273 |
| 8 | 3844 | 273 |
| 9 | 4600 | 273 |
| 10 | 5820 | 273 |
| 11 | 7716 | 273 |
| 0 | 8275 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))) |
J |
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))) |
(pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) |
(+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) |
1 |
(/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K))) |
(/ 1/2 (/ J (/ U (/ J U)))) |
1/2 |
(/ J (/ U (/ J U))) |
(/ U (/ J U)) |
U |
(/ J U) |
(+ 1 (cos K)) |
(cos K) |
K |
-1/2 |
(* -2 (cos (/ K 2))) |
-2 |
(cos (/ K 2)) |
(/ K 2) |
2 |
(- 0 U) |
0 |
(* -2 (+ J (* (* J (* K K)) -1/8))) |
(+ J (* (* J (* K K)) -1/8)) |
(* (* J (* K K)) -1/8) |
(* J (* K K)) |
(* K K) |
-1/8 |
(/ (* 2 (cos (/ K 2))) (/ -1 J)) |
(* 2 (cos (/ K 2))) |
(/ -1 J) |
-1 |
(+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))) |
(* (cos (* 1/2 K)) (* J -2)) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(* J -2) |
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))) |
(* -1/4 (* U (/ U J))) |
-1/4 |
(* U (/ U J)) |
(/ U J) |
| Outputs |
|---|
(/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))) |
(/.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
J |
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) |
(+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
1 |
#s(literal 1 binary64) |
(/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) |
(/ 1/2 (/ J (/ U (/ J U)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) |
1/2 |
#s(literal 1/2 binary64) |
(/ J (/ U (/ J U))) |
(/.f64 J (/.f64 U (/.f64 J U))) |
(/ U (/ J U)) |
(/.f64 U (/.f64 J U)) |
U |
(/ J U) |
(/.f64 J U) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(cos K) |
(cos.f64 K) |
K |
-1/2 |
#s(literal -1/2 binary64) |
(* -2 (cos (/ K 2))) |
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
-2 |
#s(literal -2 binary64) |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- 0 U) |
(-.f64 #s(literal 0 binary64) U) |
0 |
#s(literal 0 binary64) |
(* -2 (+ J (* (* J (* K K)) -1/8))) |
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(+ J (* (* J (* K K)) -1/8)) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K #s(literal -1/8 binary64))))) |
(* (* J (* K K)) -1/8) |
(*.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64)))) |
(* J (* K K)) |
(*.f64 J (*.f64 K K)) |
(* K K) |
(*.f64 K K) |
-1/8 |
#s(literal -1/8 binary64) |
(/ (* 2 (cos (/ K 2))) (/ -1 J)) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* 2 (cos (/ K 2))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
-1 |
#s(literal -1 binary64) |
(+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 J U) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* (cos (* 1/2 K)) (* J -2)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* J -2) |
(*.f64 J #s(literal -2 binary64)) |
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))) |
(/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 J U) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -1/4 (* U (/ U J))) |
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 J U) U)) |
-1/4 |
#s(literal -1/4 binary64) |
(* U (/ U J)) |
(/.f64 U (/.f64 J U)) |
(/ U J) |
(/.f64 U J) |
| 182.0ms | 256× | 0 | valid |
Compiled 301 to 45 computations (85% saved)
ival-cos: 48.0ms (37.5% of total)ival-div: 42.0ms (32.8% of total)ival-mult: 20.0ms (15.6% of total)ival-pow: 10.0ms (7.8% of total)ival-add: 5.0ms (3.9% of total)ival-sub: 1.0ms (0.8% of total)const: 1.0ms (0.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2)> |
#<alt (/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))))> |
#<alt (/ J (/ U (/ J U)))> |
#<alt (/ 1/2 (/ J (/ U (/ J U))))> |
#<alt (- 0 U)> |
#<alt (* J (* K K))> |
#<alt (+ J (* (* J (* K K)) -1/8))> |
#<alt (* -2 (+ J (* (* J (* K K)) -1/8)))> |
#<alt (* K K)> |
#<alt (/ (* 2 (cos (/ K 2))) (/ -1 J))> |
#<alt (cos (/ K 2))> |
#<alt (* 2 (cos (/ K 2)))> |
#<alt (/ -1 J)> |
#<alt (* (cos (* 1/2 K)) (* J -2))> |
#<alt (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))> |
#<alt (* U (/ U J))> |
#<alt (* -1/4 (* U (/ U J)))> |
#<alt J> |
#<alt (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))> |
#<alt 0> |
#<alt U> |
#<alt -2> |
#<alt 2> |
#<alt (+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))> |
#<alt (cos (* 1/2 K))> |
#<alt (* 1/2 K)> |
| Outputs |
|---|
#<alt (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))> |
#<alt (* J (+ (* -2 (* (/ (pow J 2) (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K))))))> |
#<alt (* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))> |
#<alt (* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (pow J 2) (+ (* -1/2 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ 1 (* (pow U 2) (- (* 3/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))> |
#<alt (+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 3/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))> |
#<alt (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))> |
#<alt (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U)> |
#<alt (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U)> |
#<alt (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U)> |
#<alt (* -1 (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))))> |
#<alt (* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U))> |
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#<alt (+ (* -1/2 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/2 (* (pow K 2) (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 1/8 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))> |
#<alt (+ (* -1/2 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 5/384 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* -1/2 (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 1/8 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))> |
#<alt (+ (* -1/2 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/2 (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 1/8 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/32 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (/ (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))))) (+ (* -1/16 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -5/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 61/46080 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -1/2 (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 5/384 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt (* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))))> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt U> |
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))> |
#<alt (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))> |
#<alt (+ (* -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)))))))))))> |
#<alt (+ (* -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)))))))))))))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)> |
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)> |
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))> |
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))> |
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))> |
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))> |
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow K 2)))> |
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))> |
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | J | @ | inf | (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))) |
| 2.0ms | K | @ | 0 | (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))) |
| 2.0ms | J | @ | -inf | (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))) |
| 2.0ms | U | @ | inf | (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))) |
| 2.0ms | J | @ | 0 | (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))) |
| 1× | batch-egg-rewrite |
| 5152× | *-lowering-*.f32 |
| 5152× | *-lowering-*.f64 |
| 4914× | /-lowering-/.f32 |
| 4914× | /-lowering-/.f64 |
| 2740× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 206 |
| 1 | 235 | 192 |
| 2 | 1861 | 192 |
| 0 | 8575 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) |
(/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))) |
(/ J (/ U (/ J U))) |
(/ 1/2 (/ J (/ U (/ J U)))) |
(- 0 U) |
(* J (* K K)) |
(+ J (* (* J (* K K)) -1/8)) |
(* -2 (+ J (* (* J (* K K)) -1/8))) |
(* K K) |
(/ (* 2 (cos (/ K 2))) (/ -1 J)) |
(cos (/ K 2)) |
(* 2 (cos (/ K 2))) |
(/ -1 J) |
(* (cos (* 1/2 K)) (* J -2)) |
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))) |
(* U (/ U J)) |
(* -1/4 (* U (/ U J))) |
J |
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))) |
0 |
U |
-2 |
2 |
(+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))) |
(cos (* 1/2 K)) |
(* 1/2 K) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) (*.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))))) |
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))) |
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(/.f64 (/.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
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#s(literal 0 binary64) |
U |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) K)))) |
(/.f64 K #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) K)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) K))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 K #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) K) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -1/2 binary64)) |
| 1× | egg-herbie |
| 12592× | accelerator-lowering-fma.f32 |
| 12592× | accelerator-lowering-fma.f64 |
| 9784× | *-lowering-*.f32 |
| 9784× | *-lowering-*.f64 |
| 4080× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 714 | 9879 |
| 1 | 2438 | 9570 |
| 0 | 8328 | 9107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))) |
(* J (+ (* -2 (* (/ (pow J 2) (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))))) |
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))))))) |
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (pow J 2) (+ (* -1/2 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* (pow U 2) (- (* 3/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 3/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))) |
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U) |
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U) |
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U) |
(* -1 (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))) |
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U)) |
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U)) |
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U)) |
(sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/2 (* (* (pow K 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) |
(+ (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* (pow K 2) (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (* -1/2 (* (* (pow K 2) (+ (* -1/2 (/ (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/32 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (/ (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1 (cos K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))))) |
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(* 2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) |
(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(/ (pow J 2) (pow U 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)) |
(/ (pow J 2) (pow U 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)) |
(/ (pow J 2) (pow U 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)) |
(/ (pow J 2) (pow U 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)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(* 1/2 (/ (pow U 2) (pow J 2))) |
(* 1/2 (/ (pow U 2) (pow J 2))) |
(* 1/2 (/ (pow U 2) (pow J 2))) |
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J |
J |
J |
J |
J |
J |
J |
J |
J |
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(* J (+ (* -1/2 (* (/ (sqrt 2) (* U (cos (* 1/2 K)))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* 1/4 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (* (cos (* 1/2 K)) (sqrt 2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (/ 1 (* (pow U 3) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(* J (+ (* -1/2 (* (/ (sqrt 2) (* U (cos (* 1/2 K)))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* (/ 1 (* (pow U 3) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3))) (* (pow J 2) (+ (* 1/4 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (cos (* 1/2 K)) (sqrt 2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* 1/4 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (* (cos (* 1/2 K)) (sqrt 2))) (sqrt (/ 1 (+ 1 (cos K)))))))))))) |
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(- (+ (* 1/8 (/ (pow U 2) (* (pow J 2) (* (cos (* 1/2 K)) (+ 1 (cos K)))))) (+ (* 1/4 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (* (pow J 4) (cos (* 1/2 K))))) (* 1/4 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (* (pow J 6) (cos (* 1/2 K))))))) (* 1/2 (/ 1 (cos (* 1/2 K))))) |
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(- (+ (* 1/8 (/ (pow U 2) (* (pow J 2) (* (cos (* 1/2 K)) (+ 1 (cos K)))))) (* 1/4 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (* (pow J 4) (cos (* 1/2 K)))))) (* 1/2 (/ 1 (cos (* 1/2 K))))) |
(- (+ (* 1/8 (/ (pow U 2) (* (pow J 2) (* (cos (* 1/2 K)) (+ 1 (cos K)))))) (+ (* 1/4 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (* (pow J 4) (cos (* 1/2 K))))) (* 1/4 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (* (pow J 6) (cos (* 1/2 K))))))) (* 1/2 (/ 1 (cos (* 1/2 K))))) |
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(- (* (pow U 2) (+ (* (pow U 2) (- (* 5/256 (/ (pow U 2) (* (pow J 6) (* (cos (* 1/2 K)) (pow (+ 1 (cos K)) 3))))) (* 3/64 (/ 1 (* (pow J 4) (* (cos (* 1/2 K)) (pow (+ 1 (cos K)) 2))))))) (* 1/8 (/ 1 (* (pow J 2) (* (cos (* 1/2 K)) (+ 1 (cos K)))))))) (* 1/2 (/ 1 (cos (* 1/2 K))))) |
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(/ (+ (* -1/2 (* (/ (* J (sqrt 2)) (cos (* 1/2 K))) (sqrt (+ 1 (cos K))))) (* (/ (pow J 3) (* (pow U 2) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3)))) U) |
(/ (+ (* -1/2 (* (/ (* J (sqrt 2)) (cos (* 1/2 K))) (sqrt (+ 1 (cos K))))) (+ (* 1/4 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (* (cos (* 1/2 K)) (sqrt 2))))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (/ (pow J 3) (* (pow U 2) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3))))) U) |
(/ (+ (* -1/2 (* (/ (* J (sqrt 2)) (cos (* 1/2 K))) (sqrt (+ 1 (cos K))))) (+ (* 1/4 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (* (cos (* 1/2 K)) (sqrt 2))))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* 1/4 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (* (cos (* 1/2 K)) (sqrt 2))))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (/ (pow J 3) (* (pow U 2) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3)))))) U) |
(* 1/2 (* (/ (* J (sqrt 2)) (* U (cos (* 1/2 K)))) (sqrt (+ 1 (cos K))))) |
(* -1 (/ (+ (* -1/2 (* (/ (* J (sqrt 2)) (cos (* 1/2 K))) (sqrt (+ 1 (cos K))))) (* (/ (pow J 3) (* (pow U 2) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3)))) U)) |
(* -1 (/ (+ (* -1/2 (* (/ (* J (sqrt 2)) (cos (* 1/2 K))) (sqrt (+ 1 (cos K))))) (+ (* 1/4 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (* (cos (* 1/2 K)) (sqrt 2))))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (/ (pow J 3) (* (pow U 2) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3))))) U)) |
(* -1 (/ (+ (* -1/2 (* (/ (* J (sqrt 2)) (cos (* 1/2 K))) (sqrt (+ 1 (cos K))))) (+ (* 1/4 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (* (cos (* 1/2 K)) (sqrt 2))))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* 1/4 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (* (cos (* 1/2 K)) (sqrt 2))))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (/ (pow J 3) (* (pow U 2) (* (cos (* 1/2 K)) (sqrt 2)))) (sqrt (pow (+ 1 (cos K)) 3)))))) U)) |
(* -1/2 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -1/2 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/2 (* (pow K 2) (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 1/8 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (* -1/2 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 5/384 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* -1/2 (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 1/8 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -1/2 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/2 (+ (* -1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 1/8 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/32 (/ (* (pow U 2) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (/ (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))))) (+ (* -1/16 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -5/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 61/46080 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -1/2 (+ (* -1/2 (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* -1/2 (/ (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))) (* 5/384 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
(* -1/2 (* (/ 1 (cos (* 1/2 K))) (sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))) |
U |
U |
U |
U |
U |
U |
U |
U |
U |
U |
U |
U |
(+ (* -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))))))))))))))))) |
(+ (* -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)))))) |
(+ (* -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)))))) |
(+ (* -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)))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J) |
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J) |
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) 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))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 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 (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)))))) |
(* -1/4 (/ (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))))))) |
(* -1/4 (/ (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 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
| Outputs |
|---|
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))) |
(*.f64 (/.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) U) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(* J (+ (* -2 (* (/ (pow J 2) (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))))) |
(*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 J J) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U (*.f64 U U)))) (*.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) U)))) |
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))))))) |
(*.f64 J (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) U)) (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U (*.f64 U U))))) (*.f64 (*.f64 J J) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) U) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 6 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))))) |
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (pow J 2) (+ (* -1/2 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))))))))) |
(*.f64 J (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) U)) (*.f64 J (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U (*.f64 U U))))) (*.f64 (*.f64 J J) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (+.f64 (/.f64 (*.f64 U (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 J J) (*.f64 U (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (*.f64 U U))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 8 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64))) (pow.f64 J #s(literal 4 binary64)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) (*.f64 #s(literal -3/16 binary64) (*.f64 U U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (pow.f64 J #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64))) (pow.f64 J #s(literal 4 binary64)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) (*.f64 #s(literal -3/16 binary64) (*.f64 U U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (pow.f64 J #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(+ 1 (* (pow U 2) (- (* 3/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal 3/32 binary64) (*.f64 U U)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))) |
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 3/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U (+.f64 (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 U U)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))))))) |
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))) |
(*.f64 (/.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) U) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
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(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
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(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
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(sqrt (/ 1 (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
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(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
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(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) |
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(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))) |
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -1 (* J (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))) |
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(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K))))))) |
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(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1 (cos K)))))) |
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))) |
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))))) |
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(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(*.f64 U (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))) |
(*.f64 U (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
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(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
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(* 2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
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(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) |
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(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
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(-.f64 #s(literal 0 binary64) U) |
(* -1 U) |
(-.f64 #s(literal 0 binary64) U) |
(* -1 U) |
(-.f64 #s(literal 0 binary64) U) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
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(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (pow K 2)) |
(*.f64 J (*.f64 K K)) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* J (+ 1 (* -1/8 (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* -1 (* J (- (* 1/8 (pow K 2)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)))) |
(* -1 (* J (- (* 1/8 (pow K 2)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)))) |
(* -1 (* J (- (* 1/8 (pow K 2)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)))) |
(* -1 (* J (- (* 1/8 (pow K 2)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(+ J (* -1/8 (* J (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(+ J (* -1/8 (* J (pow K 2)))) |
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) |
(* -1/8 (* J (pow K 2))) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) |
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2)))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (/.f64 J (*.f64 K K)))) |
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2)))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (/.f64 J (*.f64 K K)))) |
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2)))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (/.f64 J (*.f64 K K)))) |
(* -1/8 (* J (pow K 2))) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) |
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2)))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (/.f64 J (*.f64 K K)))) |
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2)))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (/.f64 J (*.f64 K K)))) |
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2)))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/8 binary64)) (/.f64 J (*.f64 K K)))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (+ 1 (* -1/8 (pow K 2))))) |
(*.f64 J (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal -2 binary64))) |
(* 2 (* J (- (* 1/8 (pow K 2)) 1))) |
(*.f64 J (*.f64 (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* 2 (* J (- (* 1/8 (pow K 2)) 1))) |
(*.f64 J (*.f64 (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* 2 (* J (- (* 1/8 (pow K 2)) 1))) |
(*.f64 J (*.f64 (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* 2 (* J (- (* 1/8 (pow K 2)) 1))) |
(*.f64 J (*.f64 (+.f64 (*.f64 K (*.f64 K #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(* 1/4 (* J (pow K 2))) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 K K))) (*.f64 J #s(literal 1/4 binary64)))) |
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 K K))) (*.f64 J #s(literal 1/4 binary64)))) |
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 K K))) (*.f64 J #s(literal 1/4 binary64)))) |
(* 1/4 (* J (pow K 2))) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 K K))) (*.f64 J #s(literal 1/4 binary64)))) |
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 K K))) (*.f64 J #s(literal 1/4 binary64)))) |
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J))) |
(*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 K K))) (*.f64 J #s(literal 1/4 binary64)))) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(pow K 2) |
(*.f64 K K) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal -1/192 binary64)))))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/23040 binary64)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))) #s(literal -1/8 binary64)))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/4 (pow K 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) |
(+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))))) |
(+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 K K) #s(literal -1/23040 binary64)))) #s(literal -1/4 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 (cos (* 1/2 K))) |
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(/ -1 J) |
(/.f64 #s(literal -1 binary64) J) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal -1/192 binary64)))))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/23040 binary64)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
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(+ (* -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))))))))))) |
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 (*.f64 K K) (+.f64 (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J))) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))))))) |
(+ (* -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))))))))))))))))) |
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/23040 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/3072 binary64))))))))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (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 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (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 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J 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 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J 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 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))) #s(literal -1/8 binary64)))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
Compiled 38540 to 3456 computations (91% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1393 | 7 | 1400 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1397 | 20 | 1417 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))) | |
| 28.7% | (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) | |
| 28.5% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) | |
| ✓ | 51.5% | (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
| 71.4% | (/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J)) | |
| 51.5% | (/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| 29.3% | (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) | |
| ✓ | 52.5% | (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| 14.0% | (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) | |
| 56.3% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) | |
| 45.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) | |
| 10.4% | (*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) | |
| 43.5% | (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) | |
| 3.2% | (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) | |
| ✓ | 29.3% | (*.f64 J #s(literal -2 binary64)) |
| 9.0% | (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) | |
| ✓ | 28.6% | (*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
| ✓ | 51.6% | (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| 39.1% | (neg.f64 U) | |
| ✓ | 15.0% | U |
Compiled 1127 to 463 computations (58.9% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (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))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
6 calls:
| 13.0ms | K |
| 12.0ms | (/.f64 K #s(literal 2 binary64)) |
| 11.0ms | U |
| 11.0ms | J |
| 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 |
|---|---|---|
| 80.0% | 2 | J |
| 72.7% | 1 | K |
| 79.0% | 2 | U |
| 99.6% | 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))))) |
| 72.7% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 72.7% | 1 | (/.f64 K #s(literal 2 binary64)) |
Compiled 52 to 37 computations (28.8% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
1 calls:
| 10.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 2 | J |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
1 calls:
| 10.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | J |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) |
1 calls:
| 11.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 2 | J |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J) |
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J)) |
| Outputs |
|---|
(neg.f64 U) |
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
2 calls:
| 11.0ms | U |
| 9.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | U |
| 78.8% | 2 | J |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) |
(neg.f64 U) |
2 calls:
| 10.0ms | J |
| 8.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | U |
| 78.1% | 3 | J |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
5 calls:
| 9.0ms | U |
| 9.0ms | K |
| 7.0ms | (/.f64 K #s(literal 2 binary64)) |
| 7.0ms | J |
| 7.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 64.4% | 1 | K |
| 64.4% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 73.6% | 2 | J |
| 72.7% | 2 | U |
Compiled 25 to 20 computations (20% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))) |
1 calls:
| 11.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 2 | J |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
2 calls:
| 7.0ms | J |
| 7.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 2 | U |
| 68.8% | 2 | J |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K))))) |
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)))))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
3 calls:
| 6.0ms | K |
| 4.0ms | J |
| 4.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 2 | U |
| 47.2% | 4 | K |
| 51.3% | 2 | J |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
| Outputs |
|---|
(neg.f64 U) |
U |
3 calls:
| 2.0ms | U |
| 2.0ms | J |
| 2.0ms | K |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.3% | 2 | K |
| 39.1% | 1 | U |
| 39.1% | 1 | J |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
U |
| Outputs |
|---|
U |
3 calls:
| 1.0ms | K |
| 1.0ms | J |
| 1.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.0% | 1 | J |
| 15.0% | 1 | U |
| 15.0% | 1 | K |
Compiled 12 to 9 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8927217879287965e+305 | +inf |
| 0.0ms | -inf | -5.232195365619268e+305 |
Compiled 33 to 22 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 7.596331750048478e-118 | 4.277275484162494e-117 |
| 33.0ms | 96× | 0 | valid |
Compiled 237 to 160 computations (32.5% saved)
ival-mult: 23.0ms (78% of total)ival-cos: 2.0ms (6.8% of total)ival-div: 1.0ms (3.4% of total)ival-sqrt: 1.0ms (3.4% of total)ival-pow: 1.0ms (3.4% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 7.596331750048478e-118 | 4.277275484162494e-117 |
| 14.0ms | 96× | 0 | valid |
Compiled 297 to 202 computations (32% saved)
ival-mult: 3.0ms (31.3% of total)ival-cos: 2.0ms (20.9% of total)ival-div: 1.0ms (10.4% of total)ival-add: 1.0ms (10.4% of total)ival-sqrt: 1.0ms (10.4% of total)ival-pow: 1.0ms (10.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.596331750048478e-118 | 4.277275484162494e-117 |
| 15.0ms | 96× | 0 | valid |
Compiled 285 to 196 computations (31.2% saved)
ival-mult: 6.0ms (50.1% of total)ival-cos: 2.0ms (16.7% of total)ival-div: 1.0ms (8.4% of total)ival-add: 1.0ms (8.4% of total)ival-sqrt: 1.0ms (8.4% of total)ival-pow: 1.0ms (8.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.596331750048478e-118 | 4.277275484162494e-117 |
| 15.0ms | 96× | 0 | valid |
Compiled 255 to 190 computations (25.5% saved)
ival-mult: 5.0ms (43.8% of total)ival-cos: 2.0ms (17.5% of total)ival-div: 1.0ms (8.8% of total)ival-sqrt: 1.0ms (8.8% of total)ival-pow: 1.0ms (8.8% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 7.071978429762477e+139 | 6.779473419995303e+140 |
| 10.0ms | 1.7532269331589578e-178 | 4.274345390564486e-178 |
| 19.0ms | 144× | 0 | valid |
Compiled 408 to 301 computations (26.2% saved)
ival-mult: 5.0ms (35.4% of total)ival-cos: 3.0ms (21.2% of total)ival-div: 2.0ms (14.1% of total)ival-pow: 2.0ms (14.1% of total)ival-add: 1.0ms (7.1% of total)ival-sqrt: 1.0ms (7.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 494912597840.5064 | 102858420621825.48 |
| 15.0ms | 112× | 0 | valid |
Compiled 236 to 176 computations (25.4% saved)
ival-mult: 4.0ms (36.7% of total)ival-cos: 3.0ms (27.5% of total)ival-div: 1.0ms (9.2% of total)ival-add: 1.0ms (9.2% of total)ival-sqrt: 1.0ms (9.2% of total)ival-pow: 1.0ms (9.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 494912597840.5064 | 102858420621825.48 |
| 15.0ms | 112× | 0 | valid |
Compiled 264 to 190 computations (28% saved)
ival-mult: 4.0ms (36.8% of total)ival-cos: 3.0ms (27.6% of total)ival-div: 2.0ms (18.4% of total)ival-add: 1.0ms (9.2% of total)ival-sqrt: 1.0ms (9.2% of total)ival-pow: 1.0ms (9.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 3.0233978576736525e+20 | 5.513715388664443e+20 |
| 8.0ms | 64× | 0 | valid |
Compiled 105 to 82 computations (21.9% saved)
ival-mult: 2.0ms (33.3% of total)ival-div: 1.0ms (16.6% of total)ival-cos: 1.0ms (16.6% of total)ival-pow: 1.0ms (16.6% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.1890115680442825e+58 | 3.9405215125458576e+58 |
| 10.0ms | 64× | 0 | valid |
Compiled 85 to 66 computations (22.4% saved)
ival-cos: 3.0ms (40.8% of total)ival-mult: 2.0ms (27.2% of total)ival-div: 1.0ms (13.6% of total)ival-pow: 1.0ms (13.6% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.3532406959996428e+27 | 2.833646493501331e+33 |
| 22.0ms | 144× | 0 | valid |
Compiled 132 to 103 computations (22% saved)
ival-mult: 6.0ms (36.3% of total)ival-cos: 5.0ms (30.2% of total)ival-div: 2.0ms (12.1% of total)ival-pow: 2.0ms (12.1% of total)ival-add: 1.0ms (6% of total)ival-sqrt: 1.0ms (6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | fuel |
Compiled 379 to 135 computations (64.4% saved)
(abs K)
Compiled 2772 to 964 computations (65.2% saved)
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