
Time bar (total: 9.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 11 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 26 to 19 computations (26.9% saved)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 351.0ms (31.8% of total)ival-cos: 242.0ms (21.9% of total)ival-div: 187.0ms (16.9% of total)ival-pow2: 157.0ms (14.2% of total)ival-add: 83.0ms (7.5% of total)ival-sqrt: 58.0ms (5.3% of total)exact: 13.0ms (1.2% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 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)))) |
| 34 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | K |
| 0 | 0 | - | 0 | - | (/.f64 K #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 121 | (-3.462514955087774e-286 1.8062737970526024e+81 3.4717918835271386e+291) | 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 | 121 | 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 | 35 | 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 | 34 | |
| ↳ | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | overflow | 34 | |
| ↳ | (+.f64 #s(literal 1 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 | 69 | |
| ↳ | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | overflow | 69 | |
*.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 | 34 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 69 | 0 |
| - | 87 | 100 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 69 | 0 | 0 |
| - | 87 | 0 | 100 |
| number | freq |
|---|---|
| 0 | 100 |
| 1 | 122 |
| 2 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 114.0ms | 512× | 0 | valid |
Compiled 358 to 72 computations (79.9% saved)
ival-mult: 61.0ms (66.3% of total)ival-cos: 11.0ms (12% of total)ival-div: 7.0ms (7.6% of total)ival-pow2: 5.0ms (5.4% of total)ival-sqrt: 4.0ms (4.3% of total)ival-add: 2.0ms (2.2% of total)ival-true: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 222 |
| 1 | 211 | 216 |
| 2 | 703 | 216 |
| 3 | 2844 | 216 |
| 0 | 17 | 24 |
| 0 | 28 | 24 |
| 1 | 52 | 24 |
| 2 | 125 | 24 |
| 3 | 383 | 24 |
| 4 | 1683 | 24 |
| 5 | 5112 | 24 |
| 0 | 8073 | 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 -1/2 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 -1/2 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 |
|---|---|---|
| ▶ | 74.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 24 to 17 computations (29.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 110 |
| 0 | 28 | 110 |
| 1 | 52 | 110 |
| 2 | 125 | 110 |
| 3 | 383 | 110 |
| 4 | 1683 | 110 |
| 5 | 5112 | 110 |
| 0 | 8073 | 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 -1/2 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 -1/2 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 -1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (*.f64 K #s(literal -1/2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1484375 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| accuracy | 0.23732377930532603 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
| accuracy | 7.993329569823843 | (*.f64 (*.f64 (*.f64 #s(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 | 8.211617062514446 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| 41.0ms | 256× | 0 | valid |
Compiled 222 to 36 computations (83.8% saved)
ival-mult: 8.0ms (35.1% of total)ival-cos: 6.0ms (26.3% of total)ival-div: 3.0ms (13.1% of total)ival-sqrt: 2.0ms (8.8% of total)ival-pow2: 2.0ms (8.8% of total)ival-add: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(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 | |
|---|---|---|---|---|
| 39.0ms | U | @ | inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 39.0ms | 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)) |
| 7.0ms | 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)) |
| 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 2499 |
| 1 | 1302 | 2377 |
| 2 | 6215 | 2373 |
| 0 | 9160 | 2235 |
| 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 (*.f64 (neg.f64 J) 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 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(*.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(*.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))))))) |
(* -2 (* 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 (/.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 #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 (fma.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 (fma.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))) (fma.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 | 88 | 60 |
| 2 | 543 | 60 |
| 3 | 6455 | 60 |
| 0 | 8285 | 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 #s(literal -1/2 binary64) K))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) #s(literal 2 binary64)) (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 J (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) J) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J)) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) |
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))))) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -3 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))))) |
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) #s(literal 2 binary64)) J) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) J) |
(*.f64 (*.f64 #s(literal -1 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) J) |
(*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J) |
(*.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J #s(literal 1 binary64))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 J)) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (neg.f64 J)) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) |
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(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64))) |
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(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (sinh.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)))) |
Compiled 16 791 to 2 096 computations (87.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 12 | 470 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 459 | 12 | 471 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| ▶ | 74.4% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 65.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64))))) | |
| 9.6% | (*.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))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| 60.2% | (*.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| ▶ | 55.0% | (*.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))) |
| ▶ | 36.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))) |
| 53.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| ▶ | 10.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) |
| 34.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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)) | |
| 39.5% | #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))) | |
| ▶ | 37.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
Compiled 892 to 632 computations (29.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) | |
| cost-diff | 0 | (fma.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)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) | |
| cost-diff | 1 | (*.f64 (fma.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)) | |
| cost-diff | 0 | (*.f64 J J) | |
| cost-diff | 0 | (*.f64 (*.f64 J J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (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)))) #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 #s(literal -1/2 binary64) K)) | |
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 442 |
| 0 | 79 | 442 |
| 1 | 156 | 442 |
| 2 | 507 | 442 |
| 3 | 3055 | 442 |
| 0 | 8496 | 440 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
J |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
U |
(*.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) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 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)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
J |
#s(literal -2 binary64) |
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
#s(literal 2 binary64) |
U |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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 (fma.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)) |
(fma.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)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
#s(literal 2 binary64) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(*.f64 J J) |
J |
(*.f64 U U) |
U |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
(neg.f64 U) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(*.f64 J (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) |
(*.f64 K #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
K |
J |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #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 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #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 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) |
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) |
#s(literal 2 binary64) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
U |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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 (*.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))) |
(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) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (neg.f64 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)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
J |
#s(literal -2 binary64) |
(/.f64 (pow.f64 (cos.f64 (*.f64 #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 2 binary64)) U) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(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 K #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
K |
#s(literal 2 binary64) |
U |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (/.f64 J U)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U)) |
(*.f64 (fma.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 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (/.f64 J U)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U) |
(fma.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)) |
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (/.f64 J U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(*.f64 (*.f64 (/.f64 (/.f64 J U) U) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(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 K #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
K |
#s(literal 2 binary64) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(*.f64 (/.f64 (/.f64 J U) U) J) |
(*.f64 J J) |
J |
(*.f64 U U) |
U |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
(neg.f64 U) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.236660009768442 | (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) | |
| accuracy | 3.3484344399267765 | (*.f64 (fma.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)) | |
| accuracy | 12.995421256480917 | (/.f64 (*.f64 J J) (*.f64 U U)) | |
| accuracy | 56.258533151208795 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) | |
| accuracy | 0.1484375 | (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) | |
| accuracy | 0.236660009768442 | (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) | |
| accuracy | 5.4444310508672835 | (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)) | |
| accuracy | 39.566737061973036 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))) | |
| accuracy | 0.00390625 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| accuracy | 7.993329569823843 | (*.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 | 28.620684853290346 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 U) | |
| accuracy | 40.086722657338115 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) | |
| accuracy | 0.1484375 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) | |
| accuracy | 0.23732377930532603 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
| accuracy | 7.993329569823843 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| accuracy | 8.211617062514446 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| 113.0ms | 256× | 0 | valid |
Compiled 844 to 92 computations (89.1% saved)
ival-mult: 26.0ms (42.4% of total)ival-cos: 16.0ms (26.1% of total)ival-div: 7.0ms (11.4% of total)ival-add: 5.0ms (8.2% of total)ival-pow2: 5.0ms (8.2% of total)ival-sqrt: 2.0ms (3.3% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(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)))) (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))) |
(*.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)))) (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))) |
(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)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
(*.f64 (fma.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) |
(fma.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)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(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)) U) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
| Outputs |
|---|
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* J (cos (* -1/2 K))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U) |
(* -2 (pow J 2)) |
(pow J 2) |
U |
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1) |
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)) |
(* 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)))) |
(/ (pow J 2) (pow U 2)) |
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 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))))))) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
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) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))) |
(* -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)))))))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(- (* -2 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U))))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U))))))) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1) |
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (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 (* -1/4 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(/ 1 U) |
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)) |
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(* -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)) |
(* -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 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(pow (cos (* -1/2 K)) 2) |
(/ (pow (cos (* -1/2 K)) 2) U) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 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))))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* 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 (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))) |
(* U (+ (* 1/2 (/ 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 (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 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | U | @ | 0 | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (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 (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* J J) (* U U))) |
| 11.0ms | K | @ | -inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (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 (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* J J) (* U U))) |
| 9.0ms | J | @ | -inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (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 (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* J J) (* U U))) |
| 7.0ms | K | @ | inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (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 (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* J J) (* U U))) |
| 7.0ms | J | @ | 0 | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (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 (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* J J) (* U U))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 627 | 4474 |
| 1 | 2319 | 4291 |
| 0 | 8672 | 4070 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* J (cos (* -1/2 K))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U) |
(* -2 (pow J 2)) |
(pow J 2) |
U |
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1) |
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)) |
(* 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)))) |
(/ (pow J 2) (pow U 2)) |
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 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))))))) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
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) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))) |
(* -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)))))))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(- (* -2 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U))))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U))))))) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1) |
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (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 (* -1/4 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(/ 1 U) |
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)) |
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(* -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)) |
(* -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 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(pow (cos (* -1/2 K)) 2) |
(/ (pow (cos (* -1/2 K)) 2) U) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 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))))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* 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 (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))) |
(* U (+ (* 1/2 (/ 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 (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 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
| Outputs |
|---|
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(/.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(fma.f64 (neg.f64 U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(fma.f64 (neg.f64 U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))) (*.f64 J J))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
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(cos (* 1/2 K)) |
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(* 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)))))) |
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(* 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)))))) |
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(* 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))))))) |
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(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
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(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
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(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64)) U) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) J) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #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 (/.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))) 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 (-.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))) (/.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 #s(literal 2 binary64) (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))) (-.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))) (/.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 (cos (* -1/2 K))) (cos (* 1/2 K))) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64))) |
(* -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 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(* -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 (neg.f64 U) (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))) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) J) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal 1 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 (neg.f64 U) (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)))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(*.f64 (neg.f64 U) (-.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))) (/.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))))) |
(* -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 (neg.f64 U) (fma.f64 (*.f64 #s(literal 2 binary64) (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))) (-.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))) (/.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)))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 338 |
| 0 | 79 | 338 |
| 1 | 234 | 303 |
| 2 | 1586 | 295 |
| 0 | 8315 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(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)))) (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))) |
(*.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)))) (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))) |
(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)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
(*.f64 (fma.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) |
(fma.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)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) |
(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)) U) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
| Outputs |
|---|
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (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 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (fabs.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fabs.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) |
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(/.f64 (+.f64 (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))) (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K))) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64))))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K))) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) |
(*.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 U #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal -1 binary64)))) |
(pow.f64 (*.f64 U (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 U)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 U)) |
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 U))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (neg.f64 U)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 U (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 U (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 U (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) |
(neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) U) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) U)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U))) |
(-.f64 (pow.f64 U #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) |
(fabs.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U))) |
(fabs.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) |
(exp.f64 (*.f64 (log.f64 (*.f64 U (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) U) (/.f64 (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) U)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) U) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))) U)) |
(*.f64 (neg.f64 (/.f64 (neg.f64 J) U)) (neg.f64 (/.f64 (neg.f64 J) U))) |
(*.f64 (neg.f64 (/.f64 J (neg.f64 U))) (neg.f64 (/.f64 J (neg.f64 U)))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 J U))) (neg.f64 (neg.f64 (/.f64 J U)))) |
(*.f64 (fabs.f64 (pow.f64 U #s(literal -2 binary64))) (*.f64 J J)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 U) J) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 U) J) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 U (neg.f64 J)) #s(literal -1 binary64)) (pow.f64 (/.f64 U (neg.f64 J)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) (pow.f64 (/.f64 U (*.f64 (neg.f64 J) J)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 J) U) (/.f64 (neg.f64 J) U)) |
(*.f64 (/.f64 J (neg.f64 U)) (/.f64 J (neg.f64 U))) |
(*.f64 (neg.f64 (/.f64 J U)) (neg.f64 (/.f64 J U))) |
(*.f64 (*.f64 J (pow.f64 U #s(literal -2 binary64))) J) |
(*.f64 (*.f64 J (/.f64 J U)) (fabs.f64 (pow.f64 U #s(literal -1 binary64)))) |
(*.f64 (*.f64 J (/.f64 J U)) (pow.f64 U #s(literal -1 binary64))) |
(*.f64 (pow.f64 U #s(literal -2 binary64)) (pow.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 U #s(literal -2 binary64)) (*.f64 J J)) |
(*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 J (/.f64 J U))) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
(*.f64 (*.f64 (neg.f64 J) J) (/.f64 #s(literal -1 binary64) (*.f64 U U))) |
(*.f64 (neg.f64 J) (/.f64 J (*.f64 (neg.f64 U) U))) |
(*.f64 (neg.f64 J) (*.f64 (neg.f64 J) (pow.f64 U #s(literal -2 binary64)))) |
(*.f64 (*.f64 J J) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)))) |
(*.f64 (*.f64 J J) (fabs.f64 (pow.f64 U #s(literal -2 binary64)))) |
(*.f64 (*.f64 J J) (pow.f64 (pow.f64 U #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 J J) (pow.f64 U #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))) |
(*.f64 J (fabs.f64 (*.f64 (neg.f64 J) (pow.f64 U #s(literal -2 binary64))))) |
(*.f64 J (*.f64 J (pow.f64 U #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (neg.f64 J) U) #s(literal 2 binary64)) |
(pow.f64 (/.f64 J (neg.f64 U)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (/.f64 J U)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 J U) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 J U) J)) (neg.f64 U)) |
(/.f64 (neg.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64))) (*.f64 (neg.f64 U) U)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 J) J) U)) (neg.f64 (neg.f64 U))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 J (/.f64 J U)))) (neg.f64 (neg.f64 U))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 J U) J)) U) |
(/.f64 (fabs.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64))) (*.f64 U U)) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 J (/.f64 J U)))) U) |
(/.f64 (*.f64 (/.f64 J U) J) U) |
(/.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) (*.f64 U U)) |
(/.f64 (/.f64 (*.f64 (neg.f64 J) J) U) (neg.f64 U)) |
(/.f64 (neg.f64 (*.f64 J (/.f64 J U))) (neg.f64 U)) |
(/.f64 (*.f64 J (/.f64 J U)) U) |
(/.f64 (*.f64 (neg.f64 J) J) (*.f64 (neg.f64 U) U)) |
(/.f64 (neg.f64 J) (/.f64 (*.f64 (neg.f64 U) U) J)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64))) |
(/.f64 J (/.f64 (*.f64 U U) J)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 J) J) (*.f64 U U))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64)) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 U) U)) (/.f64 (*.f64 (neg.f64 J) J) (*.f64 U U))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64)))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 J) J) (*.f64 U U))) |
(fabs.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)) (*.f64 (log.f64 U) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 J U)) #s(literal 2 binary64))) |
Compiled 47 453 to 4 319 computations (90.9% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 20 | 936 |
| Fresh | 6 | 1 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 926 | 22 | 948 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 54.5% | (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 54.2% | (*.f64 (*.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| ▶ | 74.4% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) |
| 58.6% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) | |
| ▶ | 60.2% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) |
| 55.0% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) | |
| ▶ | 41.1% | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 39.5% | #s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| 53.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) | |
| 38.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) | |
| 36.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) U) (neg.f64 U))) | |
| ▶ | 31.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
| 36.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) | |
| 20.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) | |
| 37.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) | |
| 34.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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)) | |
| 10.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) | |
| ▶ | 12.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
| ✓ | 37.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 36.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) | |
| 11.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg 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) U))) |
Compiled 1 729 to 1 227 computations (29% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) | |
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 J J) | |
| cost-diff | 0 | (*.f64 (*.f64 J J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) | |
| cost-diff | 0 | (neg.f64 U) | |
| cost-diff | 0 | #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) | |
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 | 77 | 658 |
| 0 | 121 | 658 |
| 1 | 237 | 658 |
| 2 | 719 | 658 |
| 3 | 3667 | 658 |
| 0 | 8148 | 655 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
J |
#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(literal 2 binary64) |
#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)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
#s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 U) |
U |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
J |
#s(literal -2 binary64) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 K K) |
K |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
U |
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
J |
#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 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) |
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) |
#s(approx (cos (* -1/2 K)) (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) |
J |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (/.f64 U #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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(*.f64 J (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) |
(*.f64 K #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
K |
J |
#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 (/.f64 U #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 (/.f64 U #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 (/.f64 U #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 (/.f64 U #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) |
#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)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 U) |
U |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 J U) J) #s(literal -2 binary64)) (neg.f64 U))) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)) |
(fma.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 J U) J) #s(literal -2 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
J |
#s(literal -2 binary64) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) |
(*.f64 K K) |
K |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
U |
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 #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 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(*.f64 J (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) |
(*.f64 K #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
K |
J |
#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 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(literal -2 binary64))) J) |
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) |
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) |
#s(approx (cos (* -1/2 K)) (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) |
J |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #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 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) |
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) |
#s(literal 2 binary64) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23732377930532603 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
| accuracy | 7.993329569823843 | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| accuracy | 8.211617062514446 | (sqrt.f64 (+.f64 #s(literal 1 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 | 29.56549763115619 | #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) | |
| accuracy | 6.584287445421454 | (/.f64 (*.f64 U U) J) | |
| accuracy | 7.5854297613923265 | #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 | 7.993329569823843 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 | 8.196937983192187 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) | |
| accuracy | 0.1484375 | (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) | |
| accuracy | 5.4444310508672835 | (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)) | |
| accuracy | 30.14086981085851 | #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 39.566737061973036 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) | |
| accuracy | 0.0 | (neg.f64 U) | |
| accuracy | 3.3484344399267765 | (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) | |
| accuracy | 33.44359717365818 | #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) | |
| accuracy | 56.258533151208795 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) | |
| accuracy | 0.1484375 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) | |
| accuracy | 0.23732377930532603 | (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 | 7.993329569823843 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) | |
| accuracy | 8.211617062514446 | (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)))) |
| 105.0ms | 256× | 0 | valid |
Compiled 1 163 to 137 computations (88.2% saved)
ival-mult: 31.0ms (41.9% of total)ival-cos: 15.0ms (20.3% of total)ival-div: 10.0ms (13.5% of total)ival-add: 7.0ms (9.5% of total)ival-pow2: 5.0ms (6.8% of total)ival-sqrt: 3.0ms (4.1% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
#s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) |
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) |
#s(approx (cos (* -1/2 K)) (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)))) |
(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 (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) |
(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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
(/.f64 (*.f64 U U) J) |
(sqrt.f64 (+.f64 #s(literal 1 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 (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* J (cos (* -1/2 K))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
U |
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U) |
(* -2 (pow J 2)) |
(pow J 2) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(* 1/4 (/ (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) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 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))))))) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* 1/8 (/ (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) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))) |
(* -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) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(+ 1 (* -1/8 (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 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U))))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U))))))) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1) |
(- (* -2 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(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 (* -1/4 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(/ 1 U) |
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)) |
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(* -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)) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(pow (cos (* -1/2 K)) 2) |
(/ (pow (cos (* -1/2 K)) 2) U) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) 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))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* 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 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 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 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(/ (* 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 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* -1/2 (/ 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 | |
|---|---|---|---|---|
| 5.0ms | K | @ | 0 | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 5.0ms | U | @ | -inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 4.0ms | J | @ | 0 | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 4.0ms | J | @ | inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 4.0ms | J | @ | -inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 4665 |
| 1 | 2461 | 4489 |
| 0 | 9142 | 4257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* J (cos (* -1/2 K))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
U |
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U) |
(* -2 (pow J 2)) |
(pow J 2) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(* 1/4 (/ (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) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 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))))))) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* 1/8 (/ (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)))))) |
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
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(+ 1 (* -1/8 (pow K 2))) |
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(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
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(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U))))) |
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(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
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(- (* -2 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(+ 1 (* -1/4 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
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(/ 1 U) |
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)) |
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(* -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)) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(pow (cos (* -1/2 K)) 2) |
(/ (pow (cos (* -1/2 K)) 2) U) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) 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))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* 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 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 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 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(/ (* 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 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* -1/2 (/ 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 (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(/.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(fma.f64 (neg.f64 U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(fma.f64 (neg.f64 U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))) (*.f64 J J))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
(fma.f64 (neg.f64 U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))) (*.f64 J J))) (*.f64 J J))) |
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* -1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(* -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 (*.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 #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)) |
U |
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) 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) U) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1) |
(fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64)) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) 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)) |
(* -2 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(pow J 2) |
(*.f64 J J) |
(* 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)) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/.f64 (fma.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 J) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64))) (pow.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #s(literal 3 binary64))) (*.f64 J J) (/.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) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(*.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)) |
(* 1/2 (/ U J)) |
(*.f64 (/.f64 U J) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64)))) (*.f64 J J) (*.f64 #s(literal 1/2 binary64) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 U #s(literal 3 binary64)))) (*.f64 J J) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J) (*.f64 #s(literal 1/2 binary64) U)) J) |
(/ (pow U 2) J) |
(/.f64 (*.f64 U U) J) |
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J) |
(* 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))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.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 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #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))))) (+ (* -1/512 (/ (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)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64))))) J) |
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (*.f64 U U)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U) |
(/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) 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 (*.f64 U 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 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)))) (*.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 (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))))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) (*.f64 U U) #s(literal 1 binary64)) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal 4 binary64)))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) (*.f64 U U) #s(literal 1 binary64)) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U) |
(* 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))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #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 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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))) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) U) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal 1 binary64)) U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #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 (/.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))) 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 (-.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))) (/.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 #s(literal 2 binary64) (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))) (-.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))) (/.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 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) U) |
(* 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 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U) |
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64))) |
(* -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 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(* -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 (neg.f64 U) (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))) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal 1 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 (neg.f64 U) (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)))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(*.f64 (neg.f64 U) (-.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))) (/.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))))) |
(* -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 (neg.f64 U) (fma.f64 (*.f64 #s(literal 2 binary64) (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))) (-.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))) (/.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)))))) |
(* -1/2 (/ U J)) |
(*.f64 (/.f64 U J) #s(literal -1/2 binary64)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) |
(* -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 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 460 |
| 0 | 121 | 460 |
| 1 | 378 | 427 |
| 2 | 2658 | 421 |
| 0 | 9833 | 415 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
#s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) |
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) |
#s(approx (cos (* -1/2 K)) (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)))) |
(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 (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) |
(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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
(/.f64 (*.f64 U U) J) |
(sqrt.f64 (+.f64 #s(literal 1 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 (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #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)))))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (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 (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)))))) #s(literal -2 binary64))) |
(*.f64 J (*.f64 (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)))))) #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.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(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J) |
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) |
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (fabs.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fabs.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 K #s(literal -1/2 binary64))))) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(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 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))) |
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(fabs.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) |
(fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos.f64 (*.f64 K #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 K #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 K #s(literal -1/2 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 (cosh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 0 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))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) U) |
(*.f64 (neg.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))) U) |
(*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) U)) |
(neg.f64 (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) U)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) U)) |
#s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) U) |
(*.f64 U #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))) |
(/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)) |
(neg.f64 U) |
(-.f64 #s(literal 0 binary64) U) |
(+.f64 #s(literal 0 binary64) (neg.f64 U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (neg.f64 U))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (neg.f64 U) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)))))) (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (neg.f64 U) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)))))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)))))) (pow.f64 (neg.f64 U) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)))))) (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 J J)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (*.f64 (*.f64 J J) #s(literal -2 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (*.f64 (neg.f64 U) (-.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 3 binary64))))) (*.f64 (neg.f64 U) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) |
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(*.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))) |
(*.f64 U (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 U (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1 binary64))) |
(*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(pow.f64 (*.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 U) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (fabs.f64 (*.f64 U (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U))) (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (neg.f64 U))) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 U) (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64))) (fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))))) |
(/.f64 (fabs.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (fabs.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 U))) (fabs.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (*.f64 (neg.f64 U) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (*.f64 U (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) |
(/.f64 (*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (neg.f64 U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))) |
(/.f64 (*.f64 (neg.f64 U) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))) |
(/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 U)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (*.f64 (neg.f64 U) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (*.f64 (neg.f64 U) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))) |
(/.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) |
(/.f64 (*.f64 U U) (fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 (*.f64 U U) (fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) |
(/.f64 U (fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))))) |
(/.f64 U (fabs.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))) |
(/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))) |
Compiled 33 202 to 2 894 computations (91.3% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 667 | 11 | 678 |
| Fresh | 5 | 11 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 675 | 25 | 700 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 44.5% | (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) J) #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))))) | |
| 44.3% | (*.f64 (*.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J) #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))))) | |
| ✓ | 74.4% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) |
| 58.6% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) | |
| ▶ | 66.7% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) |
| 53.7% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| 35.2% | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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))))) | |
| 35.1% | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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))))) | |
| 35.3% | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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))))) | |
| 39.5% | (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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))))) | |
| 53.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) | |
| ▶ | 32.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
| 36.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) U) (neg.f64 U))) | |
| 36.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) | |
| ▶ | 20.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
| ▶ | 37.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
| ▶ | 34.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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)) |
| 55.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| 10.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) | |
| 6.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) | |
| ✓ | 12.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
| ✓ | 37.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 36.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) | |
| 11.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg 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) U))) |
Compiled 2 062 to 1 449 computations (29.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) | |
| cost-diff | 0 | (fma.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)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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)) | |
| cost-diff | 3 | (*.f64 (fma.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) | |
| 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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) | |
| cost-diff | 1 | (pow.f64 (neg.f64 U) #s(literal -1 binary64)) | |
| cost-diff | 3 | (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) | |
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) | |
| cost-diff | 0 | (*.f64 (neg.f64 U) U) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) | |
| cost-diff | 2 | (+.f64 #s(literal 0 binary64) U) | |
| cost-diff | 4 | (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) | |
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 484 |
| 0 | 93 | 470 |
| 1 | 189 | 461 |
| 2 | 659 | 461 |
| 3 | 3745 | 455 |
| 0 | 8308 | 455 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
J |
#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)))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/4 binary64) J) |
#s(literal 1/4 binary64) |
(*.f64 (/.f64 U J) U) |
(/.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 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
(/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)) |
(*.f64 (neg.f64 U) U) |
(neg.f64 U) |
U |
(+.f64 #s(literal 0 binary64) U) |
#s(literal 0 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
(fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) |
(*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 K K) |
K |
#s(literal 1 binary64) |
U |
J |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (neg.f64 U) #s(literal -1 binary64)) |
(neg.f64 U) |
U |
#s(literal -1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.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)) |
(*.f64 (fma.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) |
(fma.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)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 #s(literal -1/2 binary64) K) |
#s(literal -1/2 binary64) |
K |
#s(literal 2 binary64) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(*.f64 J J) |
J |
(*.f64 U U) |
U |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(*.f64 J (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) |
(*.f64 K #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
K |
J |
#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))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) U) (/.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 J) U) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 U J) U) (/.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 J) U) |
(/.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 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)) |
(neg.f64 U) |
(*.f64 (neg.f64 U) U) |
(neg.f64 U) |
U |
(+.f64 #s(literal 0 binary64) U) |
U |
#s(literal 0 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 J U) #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (neg.f64 U))) |
(fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) |
(fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 J U) #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (neg.f64 U)) |
(*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) |
(*.f64 (/.f64 J U) #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) |
(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 K K) |
K |
#s(literal 1 binary64) |
U |
J |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) |
(neg.f64 U) |
#s(literal 1 binary64) |
(pow.f64 (neg.f64 U) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) U) |
(neg.f64 U) |
U |
#s(literal -1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 J U) J) (neg.f64 U))) |
(*.f64 (fma.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) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 J U) J) (neg.f64 U)) |
(fma.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)) |
(fma.f64 (*.f64 (*.f64 (/.f64 J U) #s(literal -2 binary64)) (/.f64 J U)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(*.f64 (*.f64 (/.f64 (/.f64 J U) U) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(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 K #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
K |
#s(literal 2 binary64) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(*.f64 (/.f64 (/.f64 J U) U) J) |
(*.f64 J J) |
J |
(*.f64 U U) |
U |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.236660009768442 | (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) | |
| accuracy | 3.3484344399267765 | (*.f64 (fma.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) | |
| accuracy | 12.995421256480917 | (/.f64 (*.f64 J J) (*.f64 U U)) | |
| accuracy | 39.566737061973036 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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)) | |
| accuracy | 0.0 | (pow.f64 (neg.f64 U) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (neg.f64 U) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) | |
| accuracy | 40.086722657338115 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) | |
| accuracy | 0.1484375 | (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) | |
| accuracy | 30.14086981085851 | #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) | |
| accuracy | 39.566737061973036 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 U) U) | |
| accuracy | 0.0 | (neg.f64 U) | |
| accuracy | 28.118537980018793 | (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)) | |
| accuracy | 40.086722657338115 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) | |
| accuracy | 0.7474620063371984 | (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)) | |
| accuracy | 7.5854297613923265 | #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)))) | |
| accuracy | 7.993329569823843 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) | |
| accuracy | 8.196937983192187 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64))) |
| 195.0ms | 256× | 0 | valid |
Compiled 864 to 120 computations (86.1% saved)
ival-mult: 69.0ms (42.4% of total)ival-sqrt: 48.0ms (29.5% of total)ival-div: 13.0ms (8% of total)ival-cos: 11.0ms (6.8% of total)ival-add: 9.0ms (5.5% of total)ival-pow: 6.0ms (3.7% of total)ival-pow2: 5.0ms (3.1% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)) |
(+.f64 #s(literal 0 binary64) U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
(*.f64 (neg.f64 U) U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
(fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) |
(*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 U) #s(literal -1 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
(neg.f64 U) |
(*.f64 (fma.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) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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)) |
(fma.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)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* J (cos (* -1/2 K))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U) |
(/ (* J (pow (cos (* -1/2 K)) 2)) U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U)) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1) |
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) |
(* 1/2 (/ 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))) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
(/ (pow J 2) (pow U 2)) |
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 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))))))) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))) |
(* -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) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(- (* -2 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(/ J U) |
(+ (* -1/4 (/ (* J (pow K 2)) U)) (/ J U)) |
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/48 (/ (* J (pow K 2)) U)))) (/ J U)) |
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/1440 (/ (* J (pow K 2)) U)) (* 1/48 (/ J U)))))) (/ J U)) |
(/ 1 U) |
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)) |
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) |
(+ (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) |
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1) |
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ 1 (* -1/4 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(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)))))))) |
(/ (pow (cos (* -1/2 K)) 2) U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(pow (cos (* -1/2 K)) 2) |
(+ (* -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))))))))) |
U |
(+ (* -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)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U) |
(/ -1 U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (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) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* 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)) (/ J (pow U 2)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* 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)))))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))) |
(* -1/2 (/ U (* J (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 | |
|---|---|---|---|---|
| 19.0ms | K | @ | inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (/ (* (neg U) U) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/ (pow (cos (* -1/2 K)) 2) U) (/ 1 (pow (neg U) -1)) (pow (neg U) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (/ 1/4 J) (* (/ U J) U)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* (/ 1/4 J) (* (/ U J) U)) 1) (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2)) |
| 4.0ms | K | @ | -inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (/ (* (neg U) U) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/ (pow (cos (* -1/2 K)) 2) U) (/ 1 (pow (neg U) -1)) (pow (neg U) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (/ 1/4 J) (* (/ U J) U)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* (/ 1/4 J) (* (/ U J) U)) 1) (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2)) |
| 4.0ms | U | @ | 0 | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (/ (* (neg U) U) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/ (pow (cos (* -1/2 K)) 2) U) (/ 1 (pow (neg U) -1)) (pow (neg U) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (/ 1/4 J) (* (/ U J) U)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* (/ 1/4 J) (* (/ U J) U)) 1) (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2)) |
| 4.0ms | U | @ | -inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (/ (* (neg U) U) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/ (pow (cos (* -1/2 K)) 2) U) (/ 1 (pow (neg U) -1)) (pow (neg U) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (/ 1/4 J) (* (/ U J) U)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* (/ 1/4 J) (* (/ U J) U)) 1) (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2)) |
| 4.0ms | U | @ | inf | ((* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* -1/2 K)) J) -2) (* (cos (* -1/2 K)) J) (cos (* -1/2 K)) (/ (* (neg U) U) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/ (pow (cos (* -1/2 K)) 2) U) (/ 1 (pow (neg U) -1)) (pow (neg U) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (/ 1/4 J) (* (/ U J) U)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* (/ 1/4 J) (* (/ U J) U)) 1) (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 678 | 4659 |
| 1 | 2441 | 4473 |
| 0 | 8914 | 4235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* J (cos (* -1/2 K))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U) |
(/ (* J (pow (cos (* -1/2 K)) 2)) U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U)) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1) |
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) |
(* 1/2 (/ 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))) |
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2)) |
(/ (pow J 2) (pow U 2)) |
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 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))))))) |
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))) |
(* -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) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(- (* -2 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(/ J U) |
(+ (* -1/4 (/ (* J (pow K 2)) U)) (/ J U)) |
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/48 (/ (* J (pow K 2)) U)))) (/ J U)) |
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/1440 (/ (* J (pow K 2)) U)) (* 1/48 (/ J U)))))) (/ J U)) |
(/ 1 U) |
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)) |
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U)) |
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) |
(+ (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) |
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1) |
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ 1 (* -1/4 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(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)))))))) |
(/ (pow (cos (* -1/2 K)) 2) U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(pow (cos (* -1/2 K)) 2) |
(+ (* -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))))))))) |
U |
(+ (* -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)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U) |
(/ -1 U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (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) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* 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)) (/ J (pow U 2)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* 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)))))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))) |
(* -1/2 (/ U (* J (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 (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(/.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))) |
(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) (/.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3)))))) |
(fma.f64 (neg.f64 U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))) (*.f64 J J))) |
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3)))))))) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
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(cos (* -1/2 K)) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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(pow (cos (* -1/2 K)) 2) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
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U |
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(* -1 (pow U 2)) |
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(/ -1 U) |
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(* 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)))))) |
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(* 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)))))) |
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(* 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))))))) |
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(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
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(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
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(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
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(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) U) |
(* 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 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U) |
(* 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))) 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 (-.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))) (/.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 #s(literal 2 binary64) (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))) (-.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))) (/.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) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)) |
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))) |
(*.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 -2 binary64) U) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 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 -2 binary64) U) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(*.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U) #s(literal -1 binary64))) |
(* -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 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(* -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 (neg.f64 U) (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))) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))) |
(*.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U) #s(literal 1 binary64))) |
(* -1/2 (/ U J)) |
(*.f64 (/.f64 U J) #s(literal -1/2 binary64)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) |
(* -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 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 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 (neg.f64 U) (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)))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(*.f64 (neg.f64 U) (-.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))) (/.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))))) |
(* -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 (neg.f64 U) (fma.f64 (*.f64 #s(literal 2 binary64) (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))) (-.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))) (/.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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 416 |
| 0 | 93 | 403 |
| 1 | 333 | 366 |
| 2 | 2623 | 345 |
| 0 | 9691 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)) |
(+.f64 #s(literal 0 binary64) U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
(*.f64 (neg.f64 U) U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
(fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) |
(*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) |
(/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 U) #s(literal -1 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
(neg.f64 U) |
(*.f64 (fma.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) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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)) |
(fma.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)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (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 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (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 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J) |
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (*.f64 #s(literal 2 binary64) J)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (fabs.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fabs.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
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U |
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U (/.f64 U J)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64))))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)))) |
#s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 J U))) (neg.f64 (neg.f64 (/.f64 J U)))) |
(*.f64 (fabs.f64 (/.f64 (*.f64 J (/.f64 J U)) (*.f64 U U))) U) |
(*.f64 (fabs.f64 (/.f64 (*.f64 J (/.f64 J U)) (pow.f64 U #s(literal 3 binary64)))) (*.f64 U U)) |
(*.f64 (fabs.f64 (pow.f64 U #s(literal -2 binary64))) (*.f64 J J)) |
(*.f64 (pow.f64 (*.f64 J (pow.f64 U #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) |
(*.f64 (pow.f64 (/.f64 J (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 U #s(literal 4 binary64))) |
(*.f64 (/.f64 (*.f64 J (/.f64 J U)) (*.f64 U U)) U) |
(*.f64 (/.f64 (*.f64 J (/.f64 J U)) (pow.f64 U #s(literal 3 binary64))) (*.f64 U U)) |
(*.f64 (neg.f64 (/.f64 J U)) (neg.f64 (/.f64 J U))) |
(*.f64 (*.f64 J (pow.f64 U #s(literal -2 binary64))) J) |
(*.f64 (*.f64 J (/.f64 J U)) (pow.f64 U #s(literal -1 binary64))) |
(*.f64 (pow.f64 U #s(literal -2 binary64)) (pow.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 U #s(literal -2 binary64)) (*.f64 J J)) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
(*.f64 (*.f64 (neg.f64 J) J) (pow.f64 U #s(literal -2 binary64))) |
(*.f64 (neg.f64 J) (*.f64 (neg.f64 J) (pow.f64 U #s(literal -2 binary64)))) |
(*.f64 (neg.f64 J) (*.f64 J (pow.f64 U #s(literal -2 binary64)))) |
(*.f64 (*.f64 J J) (fabs.f64 (pow.f64 U #s(literal -2 binary64)))) |
(*.f64 (*.f64 J J) (pow.f64 (pow.f64 U #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 J J) (pow.f64 U #s(literal -2 binary64))) |
(*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 J (/.f64 J U))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))) |
(*.f64 J (fabs.f64 (*.f64 (neg.f64 J) (pow.f64 U #s(literal -2 binary64))))) |
(*.f64 J (*.f64 J (pow.f64 U #s(literal -2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 J (/.f64 J U))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 J U)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 J U) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 J U) J)) U) |
(/.f64 (fabs.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64))) (*.f64 U U)) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 J (/.f64 J U)))) U) |
(/.f64 (*.f64 (/.f64 J U) J) U) |
(/.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) (*.f64 U U)) |
(/.f64 (neg.f64 (*.f64 J (/.f64 J U))) U) |
(/.f64 (*.f64 J (/.f64 J U)) U) |
(/.f64 (*.f64 (neg.f64 J) J) (*.f64 U U)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 U (*.f64 J (/.f64 J U))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (/.f64 J U)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64))) |
(neg.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64)) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)) (*.f64 (log.f64 U) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 J U)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))) |
(*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (*.f64 K #s(literal -1/2 binary64)))) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (+.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (*.f64 K #s(literal -1/2 binary64)))) (sin.f64 (+.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (*.f64 K #s(literal -1/2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64))))) (cos.f64 (+.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64))) (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64))) (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (*.f64 K #s(literal -1/2 binary64)))) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) |
Compiled 43 964 to 3 738 computations (91.5% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 879 | 16 | 895 |
| Fresh | 4 | 13 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 888 | 32 | 920 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 44.5% | (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) J) #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))))) | |
| 44.3% | (*.f64 (*.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J) #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))))) | |
| ✓ | 74.4% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) |
| 58.6% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) | |
| 53.7% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) | |
| 35.2% | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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))))) | |
| 35.1% | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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))))) | |
| 35.3% | (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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))))) | |
| 46.0% | (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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))))) | |
| 53.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) | |
| 29.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) | |
| 29.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) | |
| 7.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) | |
| 36.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) | |
| 38.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) | |
| 38.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) | |
| ✓ | 20.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
| 6.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) | |
| 6.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) | |
| 12.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) | |
| 37.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) | |
| 34.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) | |
| 6.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 U U))) | |
| 55.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| 12.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) | |
| 10.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) | |
| 36.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) | |
| ✓ | 37.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 36.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) | |
| 11.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg 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) U))) | |
| 12.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
Compiled 3 743 to 1 237 computations (67% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (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))) |
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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(literal 1 binary64))) |
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) U) (neg.f64 U))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)))) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg 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) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (*.f64 (*.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) (cos.f64 (/.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 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
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(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J) #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 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
6 calls:
| 35.0ms | (*.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))))) |
| 32.0ms | (/.f64 K #s(literal 2 binary64)) |
| 23.0ms | K |
| 17.0ms | U |
| 17.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | J |
| 74.4% | 1 | K |
| 82.7% | 2 | U |
| 99.8% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 77.7% | 3 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 74.4% | 1 | (/.f64 K #s(literal 2 binary64)) |
Compiled 34 to 37 computations (-8.8% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (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))) |
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) U) (neg.f64 U))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)))) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg 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) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (*.f64 (*.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) (cos.f64 (/.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 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
1 calls:
| 14.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (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))) |
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) U) (neg.f64 U))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)))) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg 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) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #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))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (*.f64 (*.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) (cos.f64 (/.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 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) J) #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))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)))) U) |
1 calls:
| 14.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 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)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (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))) |
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) U) (neg.f64 U))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
2 calls:
| 31.0ms | (*.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))))) |
| 11.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 2 | J |
| 86.8% | 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 25 to 20 computations (20% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (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))) |
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 #s(literal -2 binary64) J) (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)))) U) |
1 calls:
| 10.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (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))) |
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #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(approx (cos (* -1/2 K)) (fma.f64 (fma.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))) J) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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)))) U) |
5 calls:
| 34.0ms | (*.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))))) |
| 16.0ms | K |
| 9.0ms | U |
| 9.0ms | (/.f64 K #s(literal 2 binary64)) |
| 9.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 3 | K |
| 54.1% | 3 | (/.f64 K #s(literal 2 binary64)) |
| 62.5% | 3 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 57.9% | 2 | U |
| 76.8% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 33 to 34 computations (-3% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (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))) |
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
#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))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
2 calls:
| 8.0ms | J |
| 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 |
|---|---|---|
| 55.0% | 2 | J |
| 70.3% | 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)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U U)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 J U)) #s(literal -2 binary64)) J U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 U U)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) J) (*.f64 U U)) U) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
6 calls:
| 33.0ms | (*.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))))) |
| 18.0ms | K |
| 7.0ms | (/.f64 K #s(literal 2 binary64)) |
| 7.0ms | U |
| 7.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 3 | K |
| 41.2% | 3 | (/.f64 K #s(literal 2 binary64)) |
| 38.0% | 1 | J |
| 38.0% | 1 | U |
| 48.9% | 2 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 48.9% | 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)))) U) |
#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 #s(approx (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (pow (cos (* -1/2 K)) 2) U) J) (* -2 J)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
| 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)))) U) |
2 calls:
| 3.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 3.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 2 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 48.1% | 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 28 to 23 computations (17.9% 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)))) U) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 | K |
| 1.0ms | (/.f64 K #s(literal 2 binary64)) |
| 1.0ms | U |
| 1.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.2% | 1 | U |
| 12.2% | 1 | J |
| 12.2% | 1 | K |
| 12.2% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 12.2% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 12.2% | 1 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 34 to 37 computations (-8.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.608160241000064e+276 | +inf |
| 0.0ms | -inf | -2.800872197420879e+299 |
Compiled 27 to 23 computations (14.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.645202781698738e+243 | 2.4125813515956556e+252 |
| 0.0ms | 2.4738166020968197e-134 | 1.332251721868657e-133 |
| 0.0ms | -inf | -2.800872197420879e+299 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.645202781698738e+243 | 2.4125813515956556e+252 |
| 0.0ms | -inf | -2.800872197420879e+299 |
Compiled 27 to 23 computations (14.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.645202781698738e+243 | 2.4125813515956556e+252 |
| 0.0ms | -1.2229272238609667e-242 | -4.564514919382544e-279 |
| 0.0ms | -inf | -2.800872197420879e+299 |
Compiled 27 to 23 computations (14.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.645202781698738e+243 | 2.4125813515956556e+252 |
| 0.0ms | -1.2229272238609667e-242 | -4.564514919382544e-279 |
| 0.0ms | -inf | -2.800872197420879e+299 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.564514919382544e-279 | 9.533002470628898e-200 |
| 0.0ms | -inf | -2.800872197420879e+299 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.564514919382544e-279 | 9.533002470628898e-200 |
| 0.0ms | -inf | -2.800872197420879e+299 |
Compiled 27 to 23 computations (14.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.564514919382544e-279 | 9.533002470628898e-200 |
Compiled 27 to 23 computations (14.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.564514919382544e-279 | 9.533002470628898e-200 |
Compiled 27 to 23 computations (14.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 1402 |
| 1 | 177 | 1402 |
| 2 | 331 | 1402 |
| 3 | 933 | 1402 |
| 4 | 4086 | 1402 |
| 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 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 8183476519740355/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)))) 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 -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (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)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 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))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 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)))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 8183476519740355/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (*.f64 U U))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)))) 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 -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #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)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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 10000000000000000746505756498316957746327953001196155931630344001201154571357992362921494533074993280744790313201299421914675928345743408263359645135065900661507886387491188354180370195272228869449812405194846465661467225589890846083353893928960 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (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)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) (*.f64 #s(approx (* (* (cos (* -1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) J)) #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)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 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))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* -1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 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)))) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 4665 |
| 1 | 2461 | 4489 |
| 0 | 9142 | 4257 |
| 0 | 50 | 338 |
| 0 | 79 | 338 |
| 1 | 234 | 303 |
| 2 | 1586 | 295 |
| 0 | 8315 | 295 |
| 0 | 678 | 4659 |
| 1 | 2441 | 4473 |
| 0 | 8914 | 4235 |
| 0 | 627 | 4474 |
| 1 | 2319 | 4291 |
| 0 | 8672 | 4070 |
| 0 | 17 | 66 |
| 0 | 28 | 66 |
| 1 | 88 | 60 |
| 2 | 543 | 60 |
| 3 | 6455 | 60 |
| 0 | 8285 | 60 |
| 0 | 360 | 2499 |
| 1 | 1302 | 2377 |
| 2 | 6215 | 2373 |
| 0 | 9160 | 2235 |
| 0 | 77 | 460 |
| 0 | 121 | 460 |
| 1 | 378 | 427 |
| 2 | 2658 | 421 |
| 0 | 9833 | 415 |
| 0 | 60 | 416 |
| 0 | 93 | 403 |
| 1 | 333 | 366 |
| 2 | 2623 | 345 |
| 0 | 9691 | 341 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 3 223 to 1 301 computations (59.6% saved)
(abs K)
Compiled 4 212 to 842 computations (80% saved)
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