
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 11 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 26 to 19 computations (26.9% saved)
| 1.4s | 8 256× | 0 | valid |
ival-mult: 437.0ms (40.1% of total)ival-cos: 280.0ms (25.7% of total)ival-div: 141.0ms (12.9% of total)ival-pow2: 103.0ms (9.4% of total)ival-sqrt: 63.0ms (5.8% of total)ival-add: 43.0ms (3.9% of total)exact: 13.0ms (1.2% of total)ival-true: 5.0ms (0.5% of total)adjust: 3.0ms (0.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 36 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 30 | 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)))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | K |
| 0 | 0 | - | 0 | - | (/.f64 K #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 139 | (-8.214056680547462e+186 -7.118695825316178e+196 1.3875047623000811e+54) | 0 | - | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) J) |
| 0 | 0 | - | 0 | - | U |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | J |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) J) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | sensitivity | 139 | 1 |
*.f64 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | n*o | 36 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) | oflow-rescue | 30 | 0 |
| ↳ | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) | overflow | 36 | |
| ↳ | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | overflow | 36 | |
| ↳ | (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) | overflow | 66 | |
| ↳ | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | overflow | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 106 | 84 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 106 | 1 | 83 |
| number | freq |
|---|---|
| 0 | 84 |
| 1 | 139 |
| 2 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 93.0ms | 512× | 0 | valid |
Compiled 248 to 55 computations (77.8% saved)
ival-mult: 22.0ms (42.1% of total)ival-cos: 12.0ms (23% of total)ival-div: 7.0ms (13.4% of total)ival-pow2: 5.0ms (9.6% of total)ival-sqrt: 3.0ms (5.7% of total)ival-add: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 222 |
| 1 | 198 | 216 |
| 2 | 588 | 216 |
| 3 | 2092 | 216 |
| 4 | 4743 | 216 |
| 0 | 17 | 24 |
| 0 | 28 | 24 |
| 1 | 52 | 24 |
| 2 | 114 | 24 |
| 3 | 314 | 24 |
| 4 | 1208 | 24 |
| 5 | 3653 | 24 |
| 6 | 7081 | 24 |
| 0 | 8238 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J) |
(abs U)
(abs K)
(negabs J)
Compiled 24 to 17 computations (29.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 24 to 17 computations (29.2% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 110 |
| 0 | 28 | 110 |
| 1 | 52 | 110 |
| 2 | 114 | 110 |
| 3 | 314 | 110 |
| 4 | 1208 | 110 |
| 5 | 3653 | 110 |
| 6 | 7081 | 110 |
| 0 | 8238 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| accuracy | 0.23503876953688402 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
| accuracy | 7.067565093057521 | (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 | 8.466173816634907 | (*.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))))) |
| 49.0ms | 256× | 0 | valid |
Compiled 112 to 19 computations (83% saved)
ival-cos: 22.0ms (57.6% of total)ival-mult: 7.0ms (18.3% of total)ival-div: 3.0ms (7.9% of total)ival-sqrt: 2.0ms (5.2% of total)ival-pow2: 2.0ms (5.2% of total)ival-add: 1.0ms (2.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 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)))))))) |
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 (* 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) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ 1 (* (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))))))) |
(* 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 (+ (* 1/2 (/ 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)))))) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | J | @ | -inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 6.0ms | K | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 6.0ms | K | @ | -inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 5.0ms | J | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 3.0ms | J | @ | inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 2498 |
| 1 | 1287 | 2382 |
| 2 | 6001 | 2373 |
| 0 | 8341 | 2242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 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)))))))) |
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 (* 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) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ 1 (* (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))))))) |
(* 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 (+ (* 1/2 (/ 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)))))) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
| Outputs |
|---|
(* -1 U) |
(neg.f64 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64)))))) (*.f64 J J) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 J J) U) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 J) (*.f64 J (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(/.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (*.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)))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 J J) U) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) J) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))))) J) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #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))))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(*.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(*.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) (*.f64 K K) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) 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))))))))))))) |
(fma.f64 (*.f64 (*.f64 K K) #s(literal -2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) 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)))))))))))))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) J) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (*.f64 J J))) (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) J) #s(literal 1/4 binary64))) (*.f64 K K)))) |
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(*.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) 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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)) |
(* -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))) |
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J J) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #s(literal 1 binary64)) (neg.f64 U)) |
(* -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))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J J) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #s(literal 1 binary64))) (neg.f64 U)) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (neg.f64 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 (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (neg.f64 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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 66 |
| 0 | 28 | 66 |
| 1 | 80 | 60 |
| 2 | 409 | 60 |
| 3 | 5573 | 60 |
| 0 | 8533 | 60 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))) J) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal 2 binary64)) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 J (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) J) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) 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)))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))) |
(*.f64 J (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))) J)) |
(fma.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) J) |
(*.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))) J) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J) |
(*.f64 (neg.f64 J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) |
(*.f64 (neg.f64 J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 J)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) J) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (neg.f64 J)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal 2 binary64)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(*.f64 J (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(*.f64 J (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)))) |
(*.f64 J (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) |
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 0 binary64)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U U)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64)))) (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64)))) (/.f64 U #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(/.f64 (*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64)))) (neg.f64 U)) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64)))) U) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 U #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(/.f64 (*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 U #s(literal 2 binary64)) (neg.f64 U)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (/.f64 U #s(literal 2 binary64)) U) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 U #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 U #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(/.f64 (*.f64 (neg.f64 U) (/.f64 U (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 2 binary64) J))) |
(/.f64 (*.f64 (neg.f64 U) (/.f64 U #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(/.f64 (*.f64 U (/.f64 U (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 2 binary64) J))) |
(/.f64 (*.f64 U (/.f64 U #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(/.f64 (fabs.f64 (/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fabs.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(/.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(/.f64 (fabs.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)) (fabs.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) J)))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 U) U)) (fabs.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 U U)) (fabs.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(/.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))) |
(neg.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cosh.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) |
Compiled 14 477 to 1 797 computations (87.6% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 12 | 380 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 369 | 12 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| 25.4% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 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))))) | |
| 25.4% | (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 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))))) | |
| 75.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 63.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64))))) | |
| ▶ | 75.6% | (*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
| ▶ | 36.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
| ▶ | 12.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
| 59.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| ▶ | 52.9% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| 14.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) | |
| 36.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) | |
| ▶ | 35.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
Compiled 846 to 622 computations (26.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| cost-diff | 4 | (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 U) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) | |
| cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 581 |
| 0 | 85 | 581 |
| 1 | 169 | 563 |
| 2 | 565 | 563 |
| 3 | 3035 | 563 |
| 0 | 8598 | 557 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal 2 binary64) J) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
U |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))))) |
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))) |
#s(literal 1 binary64) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/16 binary64) (*.f64 K K)) |
#s(literal 1/16 binary64) |
(*.f64 K K) |
(*.f64 U U) |
U |
(*.f64 (*.f64 U U) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 J J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J) |
(*.f64 #s(literal -1/2 binary64) U) |
#s(literal -1/2 binary64) |
U |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 #s(literal 2 binary64) J) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
U |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) #s(literal 1 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))))) |
(sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
(*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64)) (*.f64 U U)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 K K)) |
(*.f64 (*.f64 K K) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
(*.f64 K K) |
(*.f64 U U) |
U |
(*.f64 (*.f64 U U) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 U U)) |
#s(literal 1/4 binary64) |
(*.f64 J J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J) |
(*.f64 #s(literal -1/2 binary64) U) |
#s(literal -1/2 binary64) |
U |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| accuracy | 53.08740564389571 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| accuracy | 10.819087361339246 | (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) | |
| accuracy | 13.559418483302323 | (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) | |
| accuracy | 19.979502263046335 | #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) | |
| accuracy | 0.0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| accuracy | 30.035458183668688 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 U) | |
| accuracy | 41.132954024302 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| accuracy | 0.23503876953688402 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) | |
| accuracy | 7.067565093057521 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
| 77.0ms | 256× | 0 | valid |
Compiled 445 to 36 computations (91.9% saved)
ival-mult: 21.0ms (39.7% of total)ival-cos: 13.0ms (24.5% of total)ival-div: 7.0ms (13.2% of total)ival-pow2: 6.0ms (11.3% of total)ival-add: 2.0ms (3.8% of total)ival-sqrt: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
| Outputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/ (+ (* 1/16 (* (pow K 2) (pow U 2))) (* 1/4 (pow U 2))) (pow J 2)) |
(* -1/2 (/ U (* 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)))))))) |
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 (* 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) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+ 1 (* -1/8 (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))) |
(* 1/4 (pow U 2)) |
(+ (* 1/16 (* (pow K 2) (pow U 2))) (* 1/4 (pow U 2))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* -1/2 (/ U J)) |
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J))) |
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ 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))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(cos (* 1/2 K)) |
(* 1/16 (* (pow K 2) (pow U 2))) |
(* (pow K 2) (+ (* 1/16 (pow U 2)) (* 1/4 (/ (pow U 2) (pow K 2))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) |
(* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow K 2)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* (pow U 2) (+ 1/4 (* 1/16 (pow 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))))))) |
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2)) |
(* 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 (+ (* 1/2 (/ 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)))))) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | K | @ | -inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K)))) |
| 5.0ms | J | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K)))) |
| 4.0ms | U | @ | inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K)))) |
| 4.0ms | U | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K)))) |
| 4.0ms | U | @ | -inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 2724 |
| 1 | 1495 | 2592 |
| 2 | 6978 | 2582 |
| 0 | 9044 | 2437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/ (+ (* 1/16 (* (pow K 2) (pow U 2))) (* 1/4 (pow U 2))) (pow J 2)) |
(* -1/2 (/ U (* 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)))))))) |
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 (* 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) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+ 1 (* -1/8 (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))) |
(* 1/4 (pow U 2)) |
(+ (* 1/16 (* (pow K 2) (pow U 2))) (* 1/4 (pow U 2))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* -1/2 (/ U J)) |
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J))) |
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ 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))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(cos (* 1/2 K)) |
(* 1/16 (* (pow K 2) (pow U 2))) |
(* (pow K 2) (+ (* 1/16 (pow U 2)) (* 1/4 (/ (pow U 2) (pow K 2))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) |
(* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow K 2)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* (pow U 2) (+ 1/4 (* 1/16 (pow 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))))))) |
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2)) |
(* 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 (+ (* 1/2 (/ 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)))))) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
| Outputs |
|---|
(* -1 U) |
(neg.f64 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64)))))) (*.f64 J J) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 J J) U) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
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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)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))) (*.f64 K K)))) (*.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) (*.f64 K K) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J)) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)) (*.f64 K K)) (*.f64 K K) (*.f64 (/.f64 (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J) (*.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))))) |
(* -1/2 (/ U J)) |
(*.f64 (/.f64 U J) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 K K)) U (*.f64 #s(literal -1/2 binary64) U)) J) |
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal -5/768 binary64)) K) K (*.f64 (/.f64 U J) #s(literal -1/16 binary64))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))) |
(+ (* -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))))))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 K K)) U (*.f64 #s(literal -1/2 binary64) U)) J) (*.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 U J) #s(literal 7/23040 binary64) (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal -5/768 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 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(* 1/16 (* (pow K 2) (pow U 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K) |
(* (pow K 2) (+ (* 1/16 (pow U 2)) (* 1/4 (/ (pow U 2) (pow K 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) U) U (*.f64 (/.f64 (*.f64 U U) K) (/.f64 #s(literal 1/4 binary64) K))) (*.f64 K K)) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) |
(* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) J) (/.f64 (*.f64 U U) J)) |
(* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow K 2)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) U) U (*.f64 (/.f64 (*.f64 U U) K) (/.f64 #s(literal 1/4 binary64) K))) (*.f64 J J)) (*.f64 K K)) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) U) U) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 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))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 U #s(literal 4 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2)) |
(*.f64 (/.f64 (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J)) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U) |
(* 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)) |
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)) U) |
(* 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)) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))) U) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) 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 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) 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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) U) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)) |
(* -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))) |
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)) (neg.f64 U)) |
(* -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))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))) (neg.f64 U)) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (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 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (neg.f64 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 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (neg.f64 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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (neg.f64 U)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 330 |
| 0 | 85 | 330 |
| 1 | 247 | 297 |
| 2 | 1506 | 297 |
| 0 | 8192 | 293 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
| Outputs |
|---|
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) |
(sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64))) |
(sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))) |
(*.f64 (*.f64 U U) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) #s(literal 1/16 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 U U)) (/.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 U U)) (/.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))))) (fma.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 U U)) (/.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) U)) U) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) U)) U))) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) U (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) U)) U))) |
(/.f64 (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 U) U) (*.f64 (*.f64 K K) #s(literal 1/16 binary64))) (*.f64 (*.f64 (neg.f64 U) U) (*.f64 (*.f64 K K) #s(literal 1/16 binary64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) U (*.f64 (*.f64 (neg.f64 U) U) (*.f64 (*.f64 K K) #s(literal 1/16 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64))) (*.f64 U U)) (*.f64 (neg.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64))) (*.f64 U U)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) U (*.f64 (neg.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64))) (*.f64 U U)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 U K) #s(literal 2 binary64))) (*.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 U K) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) U (*.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 U K) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) (*.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))) (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) (*.f64 J J))) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 U U)) (/.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))) (*.f64 J J)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) U)) U) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 (*.f64 (neg.f64 U) U) (*.f64 (*.f64 K K) #s(literal 1/16 binary64))) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64))) (*.f64 U U)) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 U K) #s(literal 2 binary64))) (*.f64 J J))) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 U) U) #s(literal 1/4 binary64)) J) J)) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 (*.f64 (neg.f64 U) (*.f64 #s(literal 1/4 binary64) U)) (*.f64 J J))) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 J)) (/.f64 (*.f64 U U) J))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)))))) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 J J)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (pow.f64 J #s(literal 4 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J))) (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (*.f64 J J)) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (*.f64 J J))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) (*.f64 J J))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 U) U) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J)) |
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 U J) (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) |
(*.f64 U (/.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) U)) (neg.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) U)) (neg.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) |
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
Compiled 31 308 to 3 191 computations (89.8% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 606 | 16 | 622 |
| Fresh | 1 | 6 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 611 | 23 | 634 |
| Status | Accuracy | Program |
|---|---|---|
| 25.4% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 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))))) | |
| 25.4% | (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 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))))) | |
| 75.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 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))))) | |
| 27.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 27.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 38.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) | |
| ▶ | 54.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
| 59.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| 24.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 24.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 34.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) | |
| ▶ | 26.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
| 3.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| ▶ | 24.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| 75.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) | |
| 12.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| 52.9% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| ▶ | 83.7% | (*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
| ▶ | 12.2% | (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
| 24.2% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 14.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) | |
| 36.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) | |
| ✓ | 35.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
Compiled 1 735 to 1 219 computations (29.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) | |
| cost-diff | 0 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| cost-diff | 0 | (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| cost-diff | 4 | (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) | |
| cost-diff | 0 | (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| cost-diff | 0 | (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 849 |
| 0 | 111 | 849 |
| 1 | 223 | 813 |
| 2 | 677 | 813 |
| 3 | 3166 | 813 |
| 0 | 8890 | 801 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 U (*.f64 #s(literal 2 binary64) J)) |
U |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
J |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal 1/2 binary64) K) |
#s(literal 1/2 binary64) |
K |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 K K) |
K |
#s(literal 1 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 K K) |
K |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))))) |
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/16 binary64) (*.f64 K K)) |
#s(literal 1/16 binary64) |
(*.f64 U U) |
U |
(*.f64 (*.f64 U U) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 J J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))))) |
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))) |
#s(literal 1 binary64) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
#s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 U U) #s(literal 1/4 binary64)) |
(*.f64 U U) |
U |
#s(literal 1/4 binary64) |
(*.f64 J J) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J) |
(*.f64 #s(literal -1/2 binary64) U) |
#s(literal -1/2 binary64) |
U |
J |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal 1/2 binary64) K) |
#s(literal 1/2 binary64) |
K |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 J #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) |
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(/.f64 U (*.f64 #s(literal 2 binary64) J)) |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
U |
(*.f64 #s(literal 2 binary64) J) |
(*.f64 J #s(literal 2 binary64)) |
#s(literal 2 binary64) |
J |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal 1/2 binary64) K) |
#s(literal 1/2 binary64) |
K |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) |
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) |
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 K K) |
K |
#s(literal 1 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) #s(literal 1 binary64))) (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) |
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) |
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 K K) |
K |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))))) |
(sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) #s(literal 1 binary64)) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
(*.f64 (/.f64 (/.f64 U J) J) (*.f64 U (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) K) K #s(literal 1/4 binary64)) (*.f64 U U)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 K K)) |
#s(literal 1/16 binary64) |
(*.f64 U U) |
U |
(*.f64 (*.f64 U U) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 U U)) |
#s(literal 1/4 binary64) |
(*.f64 J J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))))) |
(sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) |
(/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
(/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J)) |
#s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
#s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) |
(*.f64 (*.f64 U U) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 U U)) |
(*.f64 U U) |
U |
#s(literal 1/4 binary64) |
(*.f64 J J) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J) |
(*.f64 #s(literal -1/2 binary64) U) |
#s(literal -1/2 binary64) |
U |
J |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal 1/2 binary64) K) |
#s(literal 1/2 binary64) |
K |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) | |
| accuracy | 8.481798816634907 | (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| accuracy | 53.08740564389571 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| accuracy | 13.559418483302323 | (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) | |
| accuracy | 19.979502263046335 | #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) | |
| accuracy | 22.221574967936448 | #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) | |
| accuracy | 10.819087361339246 | (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) | |
| accuracy | 13.559418483302323 | (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) | |
| accuracy | 19.979502263046335 | #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) | |
| accuracy | 34.616276194544696 | #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| accuracy | 30.035458183668688 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) | |
| accuracy | 34.616276194544696 | #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| accuracy | 1.8739849867111789 | (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| accuracy | 8.481798816634907 | (*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| accuracy | 8.759772698029579 | (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
| 109.0ms | 256× | 0 | valid |
Compiled 560 to 50 computations (91.1% saved)
ival-mult: 26.0ms (32% of total)ival-cos: 25.0ms (30.8% of total)ival-div: 11.0ms (13.6% of total)ival-pow2: 7.0ms (8.6% of total)ival-add: 5.0ms (6.2% of total)ival-cosh: 3.0ms (3.7% of total)ival-asinh: 2.0ms (2.5% of total)ival-sqrt: 2.0ms (2.5% of total)exact: 1.0ms (1.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
#s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
| Outputs |
|---|
(* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))))))))) |
(* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) |
(+ (* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* 1/2 (* (pow J 2) (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))) |
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1 |
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+ 1 (* -1/8 (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))) |
(* 1/4 (pow U 2)) |
(+ (* 1/16 (* (pow K 2) (pow U 2))) (* 1/4 (pow U 2))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(* -1/2 (/ U J)) |
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J))) |
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ 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)) |
(+ (* 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))))))))) |
(* 1/4 (/ (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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U |
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(* -1 (* U (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))) (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))) (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (+ (* 2 (/ (* (pow J 5) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))))))) |
(* -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))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | K | @ | inf | ((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 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) (cos (/ K 2)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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))) (cos (/ K 2)) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* 1/2 K))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J))) |
| 45.0ms | U | @ | inf | ((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 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) (cos (/ K 2)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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))) (cos (/ K 2)) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* 1/2 K))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J))) |
| 32.0ms | K | @ | 0 | ((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 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) (cos (/ K 2)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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))) (cos (/ K 2)) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* 1/2 K))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J))) |
| 31.0ms | K | @ | -inf | ((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 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) (cos (/ K 2)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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))) (cos (/ K 2)) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* 1/2 K))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J))) |
| 24.0ms | U | @ | -inf | ((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 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) (cos (/ K 2)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* (* (* -2 J) (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))) (cos (/ K 2)) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* 1/2 K))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1401 | 32651 |
| 1 | 5497 | 31463 |
| 0 | 8267 | 29480 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))))))))) |
(* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) |
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(* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) |
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1 |
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(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J))) J) |
(/ (+ (* 1/6 (/ (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))) (pow J 2))) (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J)))) J) |
(/ (+ (* 1/24 (/ (+ (* -3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) (* 3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (pow J 3))) (+ (* 1/6 (/ (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))) (pow J 2))) (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J))))) J) |
(* 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)))))))) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) |
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
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(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+ 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))) |
(* 1/4 (pow U 2)) |
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(* -1/2 (/ U J)) |
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J))) |
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ 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)) |
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(+ (* 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))))))))) |
(* 1/4 (/ (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 (* J (* (cos (* -1/2 K)) (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (+ (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ 1 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))) |
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(log (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* J (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)))))))) |
(cos (* 1/2 K)) |
(* 1/16 (* (pow K 2) (pow U 2))) |
(* (pow K 2) (+ (* 1/16 (pow U 2)) (* 1/4 (/ (pow U 2) (pow K 2))))) |
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* (cos (* -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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(* U (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))) (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))))) |
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(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
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(* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) |
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(* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2)))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))) |
(+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))) |
(* -1/2 (/ (* U (cos (* -1/2 K))) (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))) (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))) (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (+ (* 2 (/ (* (pow J 5) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))))))) |
(* -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))))))) |
| Outputs |
|---|
(* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) |
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(* -1/2 (/ (* U (cos (* -1/2 K))) (* J (cos (* 1/2 K))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(* -1 (* U (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J) (*.f64 U U))) (neg.f64 U)) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))) (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2)))))) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J) (*.f64 U U)))) (neg.f64 U)) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))) (+ (* 1/2 (/ (cos (* -1/2 K)) (* J (cos (* 1/2 K))))) (+ (* 2 (/ (* (pow J 5) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (/ (* J (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))))))) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (fma.f64 (/.f64 J U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64))))) (neg.f64 U)) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(*.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (neg.f64 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 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))) (neg.f64 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 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))))) (neg.f64 U)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 532 |
| 0 | 111 | 532 |
| 1 | 319 | 493 |
| 2 | 1832 | 493 |
| 0 | 8295 | 485 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
#s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))) |
(/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (*.f64 (cos.f64 (/.f64 K #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)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))) |
(cosh.f64 (asinh.f64 (neg.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) |
(cosh.f64 (asinh.f64 (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) |
(cosh.f64 (neg.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))) |
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) |
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) |
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
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(fma.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) J) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (neg.f64 J)) (/.f64 U (neg.f64 J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (/.f64 U (neg.f64 J)) (/.f64 (*.f64 (neg.f64 U) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 J))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (/.f64 U (neg.f64 J)) (/.f64 (*.f64 (neg.f64 U) (*.f64 #s(literal 1/16 binary64) (*.f64 K K))) (neg.f64 (neg.f64 J))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 (/.f64 U (neg.f64 J)) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) U) (neg.f64 J)) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 (/.f64 U (neg.f64 J)) (/.f64 (*.f64 #s(literal 1/4 binary64) U) (neg.f64 J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (/.f64 U J) (/.f64 (*.f64 (neg.f64 U) #s(literal 1/4 binary64)) (neg.f64 J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (/.f64 U J) (/.f64 (*.f64 (neg.f64 U) (*.f64 #s(literal 1/16 binary64) (*.f64 K K))) (neg.f64 J)) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 (/.f64 U J) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) U) J) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 (/.f64 U J) (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) U) (/.f64 U (*.f64 J J)) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (*.f64 U U) (*.f64 (/.f64 K J) (/.f64 (*.f64 #s(literal 1/16 binary64) K) J)) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
(fma.f64 U (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 U J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64))) (*.f64 J J))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64))) (*.f64 J J))) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 U U)) (/.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64)))) (*.f64 J J)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64)))) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) U)) U) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 (*.f64 (neg.f64 U) U) (*.f64 #s(literal 1/16 binary64) (*.f64 K K))) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K))) (*.f64 U U)) (*.f64 J J))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 U K) #s(literal 2 binary64))) (*.f64 J J))) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 U) U) #s(literal 1/4 binary64)) J) J)) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 (*.f64 (neg.f64 U) (*.f64 #s(literal 1/4 binary64) U)) (*.f64 J J))) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 J)) (/.f64 (*.f64 U U) J))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)))))) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 J J)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (pow.f64 J #s(literal 4 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J))) (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 6 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (*.f64 J J)) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64) (-.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (*.f64 J J))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K U) #s(literal 4 binary64)) #s(literal 1/256 binary64)) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64))) (*.f64 J J))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 U) U) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) #s(literal 1/4 binary64))) (*.f64 J J)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)))) |
(+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) |
#s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) |
(*.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J)))) |
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (neg.f64 J))) (neg.f64 (neg.f64 J))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) J))) (neg.f64 (neg.f64 J))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) (*.f64 (neg.f64 J) J)) |
(/.f64 (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (neg.f64 J)) (neg.f64 J)) |
(/.f64 (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) J) J) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) J)) (neg.f64 J)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))) (*.f64 J J)) |
(/.f64 (neg.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) (*.f64 (neg.f64 J) J)) |
(/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J)) |
(neg.f64 (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (neg.f64 J) J))) |
Compiled 58 825 to 3 983 computations (93.2% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 634 | 14 | 648 |
| Fresh | 7 | 10 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 644 | 27 | 671 |
| Status | Accuracy | Program |
|---|---|---|
| 25.4% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 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))))) | |
| 20.0% | (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 J) #s(literal 3 binary64)) (pow.f64 (neg.f64 J) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (*.f64 J J) (*.f64 J J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 75.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 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))))) | |
| 30.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 K)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 30.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 27.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 27.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 38.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) | |
| ✓ | 54.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
| ▶ | 59.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
| 24.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| ▶ | 24.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| 27.0% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 12.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) | |
| ✓ | 24.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| ▶ | 75.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
| 12.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| 75.6% | (*.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| 54.3% | (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| ▶ | 71.4% | (*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
| 24.2% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 24.1% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 36.3% | (*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| ▶ | 52.9% | (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
| 14.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) | |
| ✓ | 35.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 16.9% | #s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
Compiled 2 178 to 1 501 computations (31.1% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| 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 | #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 596 |
| 0 | 107 | 596 |
| 1 | 209 | 596 |
| 2 | 519 | 596 |
| 3 | 1355 | 596 |
| 4 | 4564 | 596 |
| 0 | 8257 | 596 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/384 binary64) (*.f64 K K)) |
#s(literal 1/384 binary64) |
(*.f64 K K) |
K |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
(*.f64 J #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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/4 binary64) J) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 U U) J) |
(*.f64 U U) |
U |
#s(literal 1 binary64) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))) |
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 U J) #s(literal 1/2 binary64)) |
(/.f64 U J) |
U |
J |
#s(literal 1/2 binary64) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal -2 binary64)) |
K |
#s(literal -2 binary64) |
(*.f64 J #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) |
(-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/384 binary64) (*.f64 K K)) |
(*.f64 (*.f64 K K) #s(literal 1/384 binary64)) |
#s(literal 1/384 binary64) |
(*.f64 K K) |
K |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
#s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
(*.f64 J #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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/4 binary64) J) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 U U) J) |
(*.f64 U U) |
U |
#s(literal 1 binary64) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) J) |
(*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) |
(asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))) |
(asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) |
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) |
(*.f64 (/.f64 U J) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(/.f64 U J) |
U |
J |
#s(literal 1/2 binary64) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal -2 binary64)) |
K |
#s(literal -2 binary64) |
(*.f64 J #s(literal -2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.8739849867111789 | (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) | |
| accuracy | 8.481798816634907 | (*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| accuracy | 8.759772698029579 | (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))) | |
| accuracy | 25.407618977720393 | #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) | |
| accuracy | 6.013028581517764 | (/.f64 (*.f64 U U) J) | |
| accuracy | 7.056514819830749 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| accuracy | 8.895287848015501 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) K) | |
| accuracy | 0.0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) | |
| accuracy | 8.481798816634907 | (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) | |
| accuracy | 30.038382437920742 | #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) | |
| accuracy | 0.18359375 | (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| accuracy | 30.035458183668688 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) | |
| accuracy | 34.65118163458162 | #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) | |
| accuracy | 0.23503876953688402 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) | |
| accuracy | 7.067565093057521 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) | |
| accuracy | 8.466173816634907 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
| 107.0ms | 256× | 0 | valid |
Compiled 449 to 48 computations (89.3% saved)
ival-mult: 34.0ms (41.7% of total)ival-cos: 15.0ms (18.4% of total)ival-div: 13.0ms (16% of total)const: 4.0ms (4.9% of total)ival-add: 3.0ms (3.7% of total)ival-cosh: 3.0ms (3.7% of total)ival-sqrt: 3.0ms (3.7% of total)ival-asinh: 2.0ms (2.5% of total)ival-pow2: 2.0ms (2.5% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/384 binary64) (*.f64 K K)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) |
(/.f64 (*.f64 U U) J) |
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))))))))) |
(* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) |
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1 |
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(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))) J)) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) J)) (* -1/2 (/ U (cos (* 1/2 K))))) J)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) (* 3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) J)) (* 1/6 (+ (* -1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))))) J)) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) J)) (* -1/2 (/ U (cos (* 1/2 K))))) J)) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
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(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+ 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))) |
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(log (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/2 (/ U J)))) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/384 (pow K 2)) |
(+ (* 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))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(cos (* 1/2 K)) |
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(* 1/2 (* (cos (* -1/2 K)) (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (+ (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ 1 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) |
(* 1/2 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (+ (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ 1 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))) |
(log (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* 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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) |
(+ (cos (* -1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (cos (* -1/2 K)) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ (cos (* -1/2 K)) (* (pow U 2) (+ (* 1/8 (/ (cos (* -1/2 K)) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/128 (/ (cos (* -1/2 K)) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/1024 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
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(+ (* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))))) (pow U 4))))) |
(+ (* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))))) (pow U 6))) (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))))) (pow U 4)))))) |
(* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) |
(+ (* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (* 1/2 (/ (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (pow U 2)))) |
(+ (* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (+ (* 1/2 (/ (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (pow U 2))) (* 1/2 (/ (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 4))))) |
(+ (* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (+ (* 1/2 (/ (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (pow U 2))) (+ (* 1/2 (/ (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))))) (pow U 6))) (* 1/2 (/ (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 4)))))) |
(* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2)))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))) |
(+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))) |
(* -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)) |
(* -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))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | K | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* 1/384 (* K K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (/ U (* 2 J)) (cos (/ K 2)))) |
| 14.0ms | K | @ | inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* 1/384 (* K K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (/ U (* 2 J)) (cos (/ K 2)))) |
| 11.0ms | K | @ | -inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* 1/384 (* K K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (/ U (* 2 J)) (cos (/ K 2)))) |
| 9.0ms | J | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* 1/384 (* K K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (/ U (* 2 J)) (cos (/ K 2)))) |
| 5.0ms | U | @ | inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* 1/384 (* K K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (/ U (* 2 J)) (cos (/ K 2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1282 | 30774 |
| 1 | 4979 | 27838 |
| 0 | 9263 | 26059 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
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(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/2 (/ 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) |
(/ (pow U 2) J) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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(cos (* -1/2 K)) |
(+ (cos (* -1/2 K)) (* 1/8 (/ (* (pow U 2) (cos (* -1/2 K))) (* (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 (+ (* -1/2 (/ (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K))))) (pow J 3))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (+ (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))) (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))) (cos (* 1/2 K)))))) (pow J 4))) (+ (* -1/2 (/ (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K))))) (pow J 3))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J))) J) |
(/ (+ (* 1/6 (/ (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))) (pow J 2))) (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J)))) J) |
(/ (+ (* 1/24 (/ (+ (* -3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) (* 3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (pow J 3))) (+ (* 1/6 (/ (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))) (pow J 2))) (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J))))) J) |
(+ 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 (* 1/8 (/ (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 (* 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)))))))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* 2 (cos (* -1/2 K))) (/ (* (cos (* -1/2 K)) (+ (* 1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (* 1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))))) (pow J 3)))))) |
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
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(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
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(sqrt (+ 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 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)))))))))) |
(* 1/384 (pow K 2)) |
(+ (* 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))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(cos (* 1/2 K)) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* U (+ (* -1/48 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) |
(* U (+ (* (pow U 2) (- (* 3/1280 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/48 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) |
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(* 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)) |
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U |
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(+ (* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))))) (pow U 6))) (* -1 (/ (* J (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))))) (pow U 4)))))) |
(* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) |
(+ (* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (* 1/2 (/ (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (pow U 2)))) |
(+ (* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (+ (* 1/2 (/ (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (pow U 2))) (* 1/2 (/ (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 4))))) |
(+ (* 1/2 (* (cos (* -1/2 K)) (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (+ (* 1/2 (/ (* (cos (* -1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))) (pow U 2))) (+ (* 1/2 (/ (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))))) (pow U 6))) (* 1/2 (/ (* (cos (* -1/2 K)) (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 4)))))) |
(* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2)))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))) |
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))) |
(+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))) |
(* -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)) |
(* -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))))))) |
| Outputs |
|---|
(* -1 U) |
(neg.f64 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(fma.f64 (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))) (*.f64 J J) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -1 (* J (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) |
(*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)) (fma.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 U (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (exp.f64 (log.f64 J)))))) |
(* J (+ (* -1 (* (cos (* -1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* -1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) |
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(cos (* -1/2 K)) |
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1 |
#s(literal 1 binary64) |
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(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))) (/.f64 (neg.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))))) (*.f64 U U))) (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 J J)) (*.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) 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(+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(+.f64 (fma.f64 (*.f64 (neg.f64 J) J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (log.f64 (/.f64 #s(literal -1 binary64) U))) (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))) |
(+.f64 (+.f64 (fma.f64 (*.f64 (neg.f64 J) J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (log.f64 (/.f64 #s(literal -1 binary64) U))) (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 1/24 binary64))) |
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))) |
(+.f64 (+.f64 (fma.f64 (*.f64 (neg.f64 J) J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (log.f64 (/.f64 #s(literal -1 binary64) U))) (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)))) #s(literal -720 binary64) (*.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1200 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal 1/720 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 1/24 binary64)))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1/2 binary64)) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(*.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (neg.f64 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 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))) (neg.f64 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 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))))) (neg.f64 U)) |
(* -1/2 (/ U J)) |
(*.f64 (/.f64 U J) #s(literal -1/2 binary64)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 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 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (neg.f64 U)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 442 |
| 0 | 107 | 430 |
| 1 | 322 | 424 |
| 2 | 1762 | 424 |
| 0 | 8747 | 424 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/384 binary64) (*.f64 K K)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) |
(/.f64 (*.f64 U U) J) |
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) J) |
(*.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 #s(literal -2 binary64) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)) |
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (neg.f64 J) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 J)) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
(/.f64 (+.f64 (pow.f64 (neg.f64 J) #s(literal 3 binary64)) (pow.f64 (neg.f64 J) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (*.f64 J J) (*.f64 J J)))) |
(neg.f64 (*.f64 #s(literal 2 binary64) J)) |
(+.f64 (neg.f64 J) (neg.f64 J)) |
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) |
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)) |
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) #s(literal -2 binary64)) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 #s(literal -2 binary64) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)) |
#s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/2 binary64) K) |
(*.f64 K #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) |
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) |
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(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J))) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 U) (/.f64 (neg.f64 U) J)) |
(*.f64 (/.f64 U J) U) |
(*.f64 U (/.f64 U J)) |
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 (neg.f64 (neg.f64 J)))) |
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 J)) |
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 J))) |
(/.f64 (*.f64 U U) J) |
(neg.f64 (/.f64 (*.f64 (neg.f64 U) U) J)) |
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) |
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64)) |
(sinh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) |
Compiled 45 792 to 2 885 computations (93.7% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 7 | 537 |
| Fresh | 3 | 16 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 535 | 29 | 564 |
| Status | Accuracy | Program |
|---|---|---|
| 25.4% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 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))))) | |
| 20.0% | (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 J) #s(literal 3 binary64)) (pow.f64 (neg.f64 J) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (*.f64 J J) (*.f64 J J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 75.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 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))))) | |
| 30.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 K)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 30.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 34.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| 38.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) | |
| 63.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) | |
| 24.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) | |
| 24.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) | |
| 24.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| ✓ | 24.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| 27.0% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) | |
| 12.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) | |
| ✓ | 24.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| ✓ | 75.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
| 59.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| 75.6% | (*.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| 54.3% | (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| ✓ | 71.4% | (*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
| 24.2% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 24.1% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| 36.3% | (*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| 27.3% | (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) | |
| 27.2% | (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) | |
| ✓ | 52.9% | (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
| 14.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) | |
| ✓ | 35.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 16.9% | #s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
Compiled 3 210 to 1 173 computations (63.5% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 K)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
#s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 J) #s(literal 3 binary64)) (pow.f64 (neg.f64 J) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (*.f64 J J) (*.f64 J J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 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 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) |
6 calls:
| 42.0ms | (/.f64 K #s(literal 2 binary64)) |
| 31.0ms | U |
| 17.0ms | J |
| 12.0ms | K |
| 12.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 83.7% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 99.9% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 87.0% | 2 | J |
| 83.7% | 1 | K |
| 83.7% | 1 | U |
Compiled 34 to 37 computations (-8.8% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 K)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
#s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) |
1 calls:
| 45.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 K)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
#s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))) |
2 calls:
| 28.0ms | J |
| 10.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 2 | J |
| 87.9% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 25 to 20 computations (20% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 K)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
#s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
#s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) (neg.f64 K)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) K) K)) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) |
5 calls:
| 15.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 15.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 9.0ms | U |
| 8.0ms | K |
| 8.0ms | (/.f64 K #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 72.6% | 2 | U |
| 63.7% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 63.7% | 1 | K |
| 81.4% | 2 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 33 to 34 computations (-3% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(approx (/ (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (* J J)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J))) (*.f64 K K))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
2 calls:
| 6.0ms | J |
| 6.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 2 | J |
| 76.3% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 25 to 20 computations (20% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 #s(approx (+ (* (* 1/16 (* K K)) (* U U)) (* (* U U) 1/4)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
6 calls:
| 45.0ms | J |
| 4.0ms | U |
| 4.0ms | (/.f64 K #s(literal 2 binary64)) |
| 4.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 3.0ms | K |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.3% | 2 | (/.f64 K #s(literal 2 binary64)) |
| 42.3% | 2 | K |
| 42.0% | 2 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 49.3% | 2 | J |
| 50.4% | 2 | U |
| 54.0% | 2 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 34 to 37 computations (-8.8% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 2.0ms | U |
| 2.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 2 | J |
| 44.3% | 2 | U |
| 47.8% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 26 to 23 computations (11.5% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) |
1 calls:
| 1.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.9% | 2 | J |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
6 calls:
| 1.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 1.0ms | J |
| 1.0ms | (/.f64 K #s(literal 2 binary64)) |
| 1.0ms | K |
| 1.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.7% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 35.7% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 35.7% | 1 | K |
| 35.7% | 1 | U |
| 35.7% | 1 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 35.7% | 1 | J |
Compiled 34 to 37 computations (-8.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.058484353423983e+304 | +inf |
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.058484353423983e+304 | +inf |
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.058484353423983e+304 | +inf |
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.058484353423983e+304 | +inf |
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.275987964528683e+201 | -1.5100696644244823e+200 |
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.205081429272073e-155 | -9.552803925080823e-157 |
| 0.0ms | -1.6534509034292036e+100 | -3.5429331920279197e+99 |
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -5.8317401769010164e+305 |
Compiled 27 to 23 computations (14.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 7.282641766376471e+92 | 3.969314043469949e+96 |
| 21.0ms | 128× | 0 | valid |
Compiled 555 to 399 computations (28.1% saved)
ival-mult: 4.0ms (36.5% of total)ival-cos: 3.0ms (27.4% of total)ival-div: 1.0ms (9.1% of total)ival-add: 1.0ms (9.1% of total)ival-sqrt: 1.0ms (9.1% of total)ival-pow2: 1.0ms (9.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.731930568947812e+86 | 4.5235342475752616e+86 |
| 9.0ms | 80× | 0 | valid |
Compiled 327 to 243 computations (25.7% saved)
ival-mult: 2.0ms (30.8% of total)ival-cos: 2.0ms (30.8% of total)ival-div: 1.0ms (15.4% of total)ival-pow2: 1.0ms (15.4% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1299 |
| 1 | 192 | 1299 |
| 2 | 306 | 1299 |
| 3 | 605 | 1299 |
| 4 | 1832 | 1299 |
| 5 | 6576 | 1299 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) #s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))) |
(if (<=.f64 J #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
(if (<=.f64 J #s(literal 204999999999999996097546175497785183914102950235228834701006239199421699508961160462336 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (neg.f64 #s(literal -2 binary64))) #s(literal -1 binary64)) U)))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (neg.f64 #s(literal -2 binary64))) #s(literal -1 binary64)) U)))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (neg.f64 #s(literal -2 binary64))) #s(literal -1 binary64)) U)))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))))) #s(approx (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (/ K -2))) (* J -2)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (or (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (not (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)))) (*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))) |
(if (<=.f64 J #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
(if (<=.f64 J #s(literal 204999999999999996097546175497785183914102950235228834701006239199421699508961160462336 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 2724 |
| 1 | 1495 | 2592 |
| 2 | 6978 | 2582 |
| 0 | 9044 | 2437 |
| 0 | 1282 | 30774 |
| 1 | 4979 | 27838 |
| 0 | 9263 | 26059 |
| 0 | 360 | 2498 |
| 1 | 1287 | 2382 |
| 2 | 6001 | 2373 |
| 0 | 8341 | 2242 |
| 0 | 1401 | 32651 |
| 1 | 5497 | 31463 |
| 0 | 8267 | 29480 |
| 0 | 54 | 330 |
| 0 | 85 | 330 |
| 1 | 247 | 297 |
| 2 | 1506 | 297 |
| 0 | 8192 | 293 |
| 0 | 68 | 442 |
| 0 | 107 | 430 |
| 1 | 322 | 424 |
| 2 | 1762 | 424 |
| 0 | 8747 | 424 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 299 to 142 computations (89.1% saved)
(abs K)
Compiled 4 256 to 928 computations (78.2% saved)
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