
Time bar (total: 11.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 11 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 26 to 19 computations (26.9% saved)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 339.0ms (34.8% of total)ival-cos: 228.0ms (23.4% of total)ival-pow2: 117.0ms (12% of total)ival-div: 113.0ms (11.6% of total)ival-sqrt: 97.0ms (10% of total)ival-add: 57.0ms (5.9% of total)exact: 13.0ms (1.3% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 1 014× | neg-mul-1 |
| 984× | distribute-lft-neg-in |
| 852× | *-lowering-*.f32 |
| 852× | *-lowering-*.f64 |
| 842× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 228 |
| 1 | 182 | 216 |
| 2 | 603 | 216 |
| 3 | 2240 | 216 |
| 4 | 4090 | 216 |
| 5 | 6770 | 216 |
| 0 | 17 | 24 |
| 1 | 33 | 24 |
| 2 | 76 | 24 |
| 3 | 202 | 24 |
| 4 | 600 | 24 |
| 5 | 1133 | 24 |
| 6 | 1541 | 24 |
| 7 | 1603 | 24 |
| 8 | 1620 | 24 |
| 9 | 1631 | 24 |
| 10 | 1633 | 24 |
| 11 | 1633 | 24 |
| 12 | 1633 | 24 |
| 0 | 1633 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(abs U)
(abs K)
(negabs J)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 42 | 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 | 133 | (4.197724259260469e+85 2.2871716247829067e+198 8.611974089473693e-113) | 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 | 133 | 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 | 42 | 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 | 76 | |
| ↳ | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | overflow | 76 | |
*.f64 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | n*o | 34 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 76 | 0 |
| - | 95 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 76 | 0 | 0 |
| - | 95 | 0 | 85 |
| number | freq |
|---|---|
| 0 | 85 |
| 1 | 133 |
| 2 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 77.0ms | 512× | 0 | valid |
Compiled 278 to 72 computations (74.1% saved)
ival-mult: 14.0ms (29% of total)ival-cos: 13.0ms (26.9% of total)ival-div: 7.0ms (14.5% of total)ival-sqrt: 6.0ms (12.4% of total)ival-pow2: 5.0ms (10.4% of total)ival-add: 2.0ms (4.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.0% | (*.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))))) |
Compiled 27 to 17 computations (37% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 852× | *-lowering-*.f32 |
| 852× | *-lowering-*.f64 |
| 782× | associate-*r/ |
| 758× | /-lowering-/.f32 |
| 758× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 110 |
| 1 | 33 | 110 |
| 2 | 76 | 110 |
| 3 | 202 | 110 |
| 4 | 600 | 110 |
| 5 | 1133 | 110 |
| 6 | 1541 | 110 |
| 7 | 1603 | 110 |
| 8 | 1620 | 110 |
| 9 | 1631 | 110 |
| 10 | 1633 | 110 |
| 11 | 1633 | 110 |
| 12 | 1633 | 110 |
| 0 | 1633 | 110 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
1 |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(/ U (* (* 2 J) (cos (/ K 2)))) |
U |
(* (* 2 J) (cos (/ K 2))) |
(* 2 J) |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
2 |
#s(literal 2 binary64) |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/ U (* (* 2 J) (cos (/ K 2)))) |
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
U |
(* (* 2 J) (cos (/ K 2))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) |
(* 2 J) |
(*.f64 J #s(literal 2 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 87.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 84.6% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| 39.0ms | 256× | 0 | valid |
Compiled 112 to 19 computations (83% saved)
ival-cos: 9.0ms (35.7% of total)ival-mult: 7.0ms (27.8% of total)ival-div: 3.0ms (11.9% of total)ival-sqrt: 2.0ms (7.9% of total)ival-pow2: 2.0ms (7.9% of total)ival-add: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))> |
#<alt (* (* -2 J) (cos (/ K 2)))> |
#<alt (* -2 J)> |
#<alt (cos (/ K 2))> |
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))> |
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)> |
| Outputs |
|---|
#<alt (* -1 U)> |
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))> |
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))> |
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (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)))))))> |
#<alt (* -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))))))))> |
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -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))))))))))))> |
#<alt (+ (* -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)))))))))))))> |
#<alt (+ (* -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))))))))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))> |
#<alt (* -1 U)> |
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))> |
#<alt (* 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))> |
#<alt (* 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))> |
#<alt U> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 J)> |
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))> |
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))> |
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow K 2)))> |
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))> |
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))> |
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))> |
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))> |
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))> |
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))> |
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))> |
#<alt (* -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)))))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)> |
#<alt (/ (+ (* 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)> |
#<alt (/ (+ (* 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)> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))> |
#<alt (+ 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))))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))> |
#<alt (+ 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))))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | K | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 4.0ms | K | @ | inf | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 3.0ms | J | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 3.0ms | J | @ | 0 | (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
| 3.0ms | J | @ | 0 | (* -2 J) |
| 1× | batch-egg-rewrite |
| 3 552× | *-lowering-*.f32 |
| 3 552× | *-lowering-*.f64 |
| 3 418× | accelerator-lowering-fma.f32 |
| 3 418× | accelerator-lowering-fma.f64 |
| 2 050× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 66 |
| 1 | 68 | 66 |
| 2 | 420 | 66 |
| 3 | 4348 | 66 |
| 0 | 8113 | 66 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (* -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) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
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(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 U) J)) |
(*.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) U)) |
(*.f64 (/.f64 (neg.f64 U) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (neg.f64 U)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))) |
| 1× | egg-herbie |
| 19 354× | accelerator-lowering-fma.f32 |
| 19 354× | accelerator-lowering-fma.f64 |
| 6 716× | *-lowering-*.f32 |
| 6 716× | *-lowering-*.f64 |
| 4 982× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 3717 |
| 1 | 1153 | 3609 |
| 2 | 4514 | 3477 |
| 0 | 8499 | 3319 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
| Outputs |
|---|
(* -1 U) |
(neg.f64 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 U (*.f64 U U))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))) U) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(neg.f64 (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))) |
(* -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)))))))) |
(neg.f64 (*.f64 J (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) #s(literal 1/512 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 K K) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64))))) (*.f64 K K) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 K K) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (*.f64 U (*.f64 U (/.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) #s(literal -1/32 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64))))))) (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
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U |
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1 |
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(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
Compiled 16 366 to 1 762 computations (89.2% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 14 | 480 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 467 | 14 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| 38.3% | (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) | |
| 50.2% | (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) | |
| 43.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 53.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) | |
| 63.4% | (*.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) #s(literal 1 binary64))) #s(literal 2 binary64))))) | |
| 71.9% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))) | |
| ▶ | 71.9% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))) |
| ▶ | 37.9% | (*.f64 (*.f64 #s(literal -2 binary64) 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))))) |
| 32.9% | (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) | |
| ▶ | 13.8% | (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
| ▶ | 51.4% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
| 47.7% | (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| 38.5% | (neg.f64 U) | |
| ▶ | 15.4% | U |
Compiled 642 to 430 computations (33% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 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)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) 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))))) |
| ✓ | cost-diff | 384 | (/.f64 K #s(literal 2 binary64)) |
| ✓ | 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 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 U) |
| ✓ | cost-diff | 768 | (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) |
| ✓ | cost-diff | 384 | (/.f64 K #s(literal 2 binary64)) |
| ✓ | cost-diff | 640 | (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 640 | (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) |
| 5 670× | *-lowering-*.f32 |
| 5 670× | *-lowering-*.f64 |
| 2 580× | /-lowering-/.f32 |
| 2 580× | /-lowering-/.f64 |
| 2 022× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 404 |
| 1 | 116 | 386 |
| 2 | 354 | 343 |
| 3 | 1288 | 343 |
| 4 | 4480 | 339 |
| 0 | 8929 | 327 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) |
(+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))) |
1 |
(* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) |
(/ U (* J 2)) |
U |
(* J 2) |
(/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) |
(* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) |
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) |
1/2 |
(* 1/2 (cos (* 2 (* K 1/2)))) |
(cos (* 2 (* K 1/2))) |
(* 2 (* K 1/2)) |
(* K 1/2) |
U |
(* (cos (* 1/2 K)) (* -2 J)) |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
K |
(* -2 J) |
-2 |
J |
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)) |
(neg U) |
U |
(+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) |
-2 |
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) |
(pow (cos (* 1/2 K)) 2) |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
K |
2 |
(/ (* J J) (* U U)) |
(* J J) |
J |
(* U U) |
-1 |
(* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* -2 J) |
-2 |
J |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
1 |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(/ U (* (* 2 J) (cos (/ K 2)))) |
U |
(* (* 2 J) (cos (/ K 2))) |
(* 2 J) |
2 |
(cos (/ K 2)) |
(/ K 2) |
K |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(cos (/ K 2)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(/ K 2) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
2 |
#s(literal 2 binary64) |
(sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) |
(sqrt.f64 (fma.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))) |
(fma.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) |
(/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) J)) |
(/ U (* J 2)) |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
U |
(* J 2) |
(*.f64 J #s(literal 2 binary64)) |
(/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) |
(/.f64 U (fma.f64 J (cos.f64 K) J)) |
(* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) |
(fma.f64 J (cos.f64 K) J) |
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (cos (* 2 (* K 1/2)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(cos (* 2 (* K 1/2))) |
(cos.f64 K) |
(* 2 (* K 1/2)) |
K |
(* K 1/2) |
(*.f64 K #s(literal 1/2 binary64)) |
U |
(* (cos (* 1/2 K)) (* -2 J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
K |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J)) U) U) |
(neg U) |
(neg.f64 U) |
U |
(+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) |
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)) |
-2 |
#s(literal -2 binary64) |
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
(pow (cos (* 1/2 K)) 2) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
K |
2 |
#s(literal 2 binary64) |
(/ (* J J) (* U U)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(* J J) |
(*.f64 J J) |
J |
(* U U) |
(*.f64 U U) |
-1 |
#s(literal -1 binary64) |
(* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(/ U (* (* 2 J) (cos (/ K 2)))) |
(/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
U |
(* (* 2 J) (cos (/ K 2))) |
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 2 J) |
(*.f64 J #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(cos (/ K 2)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(/ K 2) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 87.6% | (*.f64 (*.f64 #s(literal -2 binary64) 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))))) |
| ✓ | accuracy | 84.6% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
| ✓ | accuracy | 99.6% | (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.1% | (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
| ✓ | accuracy | 78.9% | (/.f64 (*.f64 J J) (*.f64 U U)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) J) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) |
| ✓ | accuracy | 99.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 87.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))) |
| ✓ | accuracy | 84.6% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
| 100.0ms | 256× | 0 | valid |
Compiled 408 to 46 computations (88.7% saved)
ival-mult: 32.0ms (44.7% of total)ival-cos: 16.0ms (22.3% of total)ival-div: 8.0ms (11.2% of total)ival-pow2: 6.0ms (8.4% of total)ival-add: 4.0ms (5.6% of total)ival-sqrt: 3.0ms (4.2% 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 |
|---|
#<alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))> |
#<alt (* 2 (* K 1/2))> |
#<alt (/ K 2)> |
#<alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))> |
#<alt (* (cos (* 1/2 K)) (* -2 J))> |
#<alt (cos (* 1/2 K))> |
#<alt (* 1/2 K)> |
#<alt (* -2 J)> |
#<alt (* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))> |
#<alt (neg U)> |
#<alt (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)> |
#<alt (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))> |
#<alt (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))> |
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))> |
#<alt (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))> |
#<alt (/ (* J J) (* U U))> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)> |
#<alt (* (* 2 J) (cos (/ K 2)))> |
| Outputs |
|---|
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 J)> |
#<alt (+ (* -1/2 (* J (pow K 2))) (* 2 J))> |
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))> |
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt K> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* -2 J)> |
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))> |
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))> |
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow K 2)))> |
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))> |
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (cos (* 1/2 K))> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* 1/2 K)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))> |
#<alt (/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)> |
#<alt (/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)> |
#<alt (/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)> |
#<alt U> |
#<alt (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))> |
#<alt (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))> |
#<alt (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))> |
#<alt U> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))> |
#<alt (+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U)))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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)))))))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))> |
#<alt U> |
#<alt (+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))> |
#<alt (+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))> |
#<alt (+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))> |
#<alt (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))> |
#<alt (* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))> |
#<alt (* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))> |
#<alt (* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))> |
#<alt (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))> |
#<alt (* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))> |
#<alt (* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))> |
#<alt (* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)> |
#<alt (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)> |
#<alt (- (+ (* -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)> |
#<alt (- (+ (* -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)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt -1> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))> |
#<alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))> |
#<alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))> |
#<alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))> |
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))> |
#<alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))> |
#<alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))> |
#<alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))> |
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))> |
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))> |
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))> |
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))> |
#<alt -1> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt -1> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))> |
#<alt (+ (* (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)))> |
#<alt (+ (* (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)))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))> |
#<alt (* -1 (/ U (cos (* 1/2 K))))> |
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (/ U (cos (* 1/2 K)))))> |
#<alt (+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))> |
#<alt (+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))))))))> |
#<alt (* -2 J)> |
#<alt (* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2))> |
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) 2))> |
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) 2))> |
#<alt (* -2 J)> |
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
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#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))> |
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -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))))))))))))> |
#<alt (+ (* -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)))))))))))))> |
#<alt (+ (* -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))))))))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))> |
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))> |
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))> |
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))> |
#<alt (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))> |
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))> |
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))> |
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))> |
#<alt (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow K 2)))> |
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))> |
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (+ 1/2 (* 1/2 (cos K)))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt (/ (pow J 2) (pow U 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow K 2)))> |
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))> |
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (pow (cos (* 1/2 K)) 2)> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 J)> |
#<alt (+ (* -1/4 (* J (pow K 2))) (* 2 J))> |
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))> |
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
#<alt (* 2 (* J (cos (* 1/2 K))))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | K | @ | inf | (* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)) |
| 3.0ms | J | @ | inf | (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) |
| 3.0ms | U | @ | inf | (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 2.0ms | K | @ | 0 | (* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)) |
| 2.0ms | U | @ | 0 | (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) |
| 1× | batch-egg-rewrite |
| 4 778× | accelerator-lowering-fma.f32 |
| 4 778× | accelerator-lowering-fma.f64 |
| 4 528× | /-lowering-/.f32 |
| 4 528× | /-lowering-/.f64 |
| 4 202× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 257 |
| 1 | 223 | 205 |
| 2 | 1717 | 192 |
| 0 | 8600 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) |
(* 2 (* K 1/2)) |
(/ K 2) |
(* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) |
(* (cos (* 1/2 K)) (* -2 J)) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(* -2 J) |
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)) |
(neg U) |
(+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) |
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) |
(* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) |
(/ (* J J) (* U U)) |
(pow (cos (* 1/2 K)) 2) |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(* (* 2 J) (cos (/ K 2))) |
| Outputs |
|---|
(+.f64 J (*.f64 J (cos.f64 K))) |
(+.f64 (*.f64 J (cos.f64 K)) J) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(-.f64 (/.f64 (*.f64 J J) (-.f64 J (*.f64 J (cos.f64 K)))) (/.f64 (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64)) (-.f64 J (*.f64 J (cos.f64 K))))) |
(fma.f64 J (cos.f64 K) J) |
(fma.f64 J #s(literal 1 binary64) (*.f64 J (cos.f64 K))) |
(fma.f64 J (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) J) |
(fma.f64 #s(literal 2 binary64) (*.f64 J #s(literal 1/2 binary64)) (*.f64 J (cos.f64 K))) |
(fma.f64 #s(literal 2 binary64) (*.f64 J (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) J) |
(fma.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 J (cos.f64 K))) |
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) J) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)) (*.f64 J (cos.f64 K))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) (*.f64 J #s(literal 2 binary64))) J) |
(fma.f64 (cos.f64 K) J J) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64)) J) |
(fma.f64 #s(literal 1 binary64) J (*.f64 J (cos.f64 K))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 2 binary64)) J J) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64) (*.f64 J (cos.f64 K))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) J) #s(literal 2 binary64) J) |
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 K)) #s(literal 1/2 binary64) J) |
(neg.f64 (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 J (cos.f64 K) J) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 J (cos.f64 K) J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J J (-.f64 (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64)) (*.f64 J (*.f64 J (cos.f64 K))))) (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 J (*.f64 J (cos.f64 K))) (-.f64 (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64))) (-.f64 J (*.f64 J (cos.f64 K)))) |
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) |
(/.f64 (neg.f64 (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 J J (-.f64 (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64)) (*.f64 J (*.f64 J (cos.f64 K))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64)))) (neg.f64 (-.f64 J (*.f64 J (cos.f64 K))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64)) (*.f64 J J)) (-.f64 (*.f64 J (cos.f64 K)) J)) |
(*.f64 J (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 J (cos.f64 K) J) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) J) |
(*.f64 (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 J J (-.f64 (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64)) (*.f64 J (*.f64 J (cos.f64 K))))))) |
(*.f64 (-.f64 (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 J (*.f64 J (cos.f64 K))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 J #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
K |
(-.f64 #s(literal 0 binary64) (neg.f64 K)) |
(neg.f64 (neg.f64 K)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) K))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 K) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 K) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) K)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 K) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) K)) |
(*.f64 K #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) K) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 K)) |
(*.f64 #s(literal 1 binary64) K) |
(*.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (neg.f64 K) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 K #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 K #s(literal -1/2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) K)))) |
(/.f64 (neg.f64 K) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) K) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 K #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 (neg.f64 K) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 J (cos.f64 K) J) U)) (*.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 U (fma.f64 J (cos.f64 K) J)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 (/.f64 (neg.f64 U) (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) (*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (neg.f64 (fma.f64 J (cos.f64 K) J)))) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (neg.f64 (fma.f64 J (cos.f64 K) J))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 J (cos.f64 K) J))) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 J (cos.f64 K) J)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)))) (/.f64 (*.f64 U U) (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 (fma.f64 J (cos.f64 K) J) U))) |
(/.f64 U (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (fma.f64 J (cos.f64 K) J))) |
(/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) |
(/.f64 U (*.f64 (/.f64 (fma.f64 J (cos.f64 K) J) U) (*.f64 J #s(literal 2 binary64)))) |
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(/.f64 U (neg.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (fma.f64 J (cos.f64 K) J) U)))) |
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(/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (neg.f64 (fma.f64 J (cos.f64 K) J))))) |
(/.f64 U (neg.f64 (*.f64 (/.f64 (fma.f64 J (cos.f64 K) J) U) (*.f64 J #s(literal -2 binary64))))) |
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(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (fma.f64 J (cos.f64 K) J) U)) |
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) |
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(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) |
(/.f64 (neg.f64 U) (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (fma.f64 J (cos.f64 K) J) U))) |
(/.f64 (neg.f64 U) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (neg.f64 (fma.f64 J (cos.f64 K) J)))) |
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(*.f64 (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 J #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) J)) (/.f64 U (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.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 1 binary64) U))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (/.f64 U (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J #s(literal 2 binary64))) (/.f64 U (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 J (cos.f64 K) J) U)) (/.f64 U (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (/.f64 U J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (*.f64 U #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (neg.f64 U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (fma.f64 J (cos.f64 K) J)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 U) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (neg.f64 J)) (/.f64 (neg.f64 U) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) (/.f64 (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (/.f64 (neg.f64 U) (neg.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J #s(literal 2 binary64))) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 U J)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) J)) (/.f64 (*.f64 U U) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) #s(literal -2 binary64)) (/.f64 (neg.f64 U) J)) |
(*.f64 (/.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) #s(literal -1 binary64)) (/.f64 U (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (neg.f64 J)) (/.f64 (neg.f64 U) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (/.f64 (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J #s(literal -2 binary64))) (/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) (/.f64 (neg.f64 U) J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal -1 binary64)) |
(*.f64 J (*.f64 #s(literal 2 binary64) (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 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) |
(*.f64 (*.f64 J (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)) J) |
| 1× | egg-herbie |
| 12 592× | accelerator-lowering-fma.f32 |
| 12 592× | accelerator-lowering-fma.f64 |
| 9 532× | *-lowering-*.f32 |
| 9 532× | *-lowering-*.f64 |
| 3 720× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 714 | 10341 |
| 1 | 2334 | 10067 |
| 0 | 8364 | 9511 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 J) |
(+ (* -1/2 (* J (pow K 2))) (* 2 J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
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(* -2 J) |
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U |
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-1 |
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(* -2 J) |
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(* -2 J) |
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(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K))))) |
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(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K)))))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1 (* (* J (* (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)))))))) (* -1/16 (* (/ (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) (+ (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1 (* (* J (* (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 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
1 |
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(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
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(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
1 |
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
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(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))) |
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(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
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(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
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1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))) |
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(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))) |
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(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))) |
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) |
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) |
1 |
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(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
1 |
(+ 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))) |
(pow (cos (* 1/2 K)) 2) |
(pow (cos (* 1/2 K)) 2) |
(pow (cos (* 1/2 K)) 2) |
(pow (cos (* 1/2 K)) 2) |
(pow (cos (* 1/2 K)) 2) |
(pow (cos (* 1/2 K)) 2) |
(pow (cos (* 1/2 K)) 2) |
(pow (cos (* 1/2 K)) 2) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
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(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 J) |
(+ (* -1/4 (* J (pow K 2))) (* 2 J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(* 2 (* J (cos (* 1/2 K)))) |
| Outputs |
|---|
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 J) |
(*.f64 #s(literal 2 binary64) J) |
(+ (* -1/2 (* J (pow K 2))) (* 2 J)) |
(fma.f64 #s(literal 2 binary64) J (*.f64 J (*.f64 #s(literal -1/2 binary64) (*.f64 K K)))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) |
(fma.f64 (*.f64 (fma.f64 J #s(literal -1/2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/24 binary64)))) K) K (*.f64 #s(literal 2 binary64) J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/24 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal -1/720 binary64)))) (*.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)) |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(fma.f64 (*.f64 (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) K) K (*.f64 J #s(literal -2 binary64))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 (*.f64 K K) #s(literal 1/23040 binary64)) (*.f64 J #s(literal -1/192 binary64))) (*.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
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(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))) |
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(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) |
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(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
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(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) |
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
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(/ (pow J 2) (pow U 2)) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
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(pow (cos (* 1/2 K)) 2) |
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(pow (cos (* 1/2 K)) 2) |
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
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(* 1/4 (/ (pow U 2) (pow J 2))) |
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 J) |
(*.f64 #s(literal 2 binary64) J) |
(+ (* -1/4 (* J (pow K 2))) (* 2 J)) |
(fma.f64 #s(literal 2 binary64) J (*.f64 J (*.f64 (*.f64 K K) #s(literal -1/4 binary64)))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))) |
(fma.f64 K (*.f64 K (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/192 binary64) (*.f64 J #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/192 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/23040 binary64))) (*.f64 J #s(literal -1/4 binary64))) (*.f64 #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))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* 2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
Compiled 60 154 to 6 198 computations (89.7% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 128 | 14 | 2 142 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 135 | 21 | 2 156 |
| Status | Accuracy | Program |
|---|---|---|
| 13.8% | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) | |
| 25.4% | (fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) | |
| 50.2% | (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) | |
| 19.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) | |
| 25.1% | (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) | |
| ▶ | 13.8% | (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
| 36.9% | (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J)) | |
| ▶ | 36.5% | (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
| 43.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| ▶ | 53.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
| ▶ | 70.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
| 69.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)))))) | |
| 63.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))))) | |
| 32.9% | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) | |
| 41.6% | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) | |
| 19.2% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) | |
| ✓ | 51.4% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
| 47.7% | (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| 27.3% | (*.f64 J #s(literal -2 binary64)) | |
| ▶ | 38.5% | (neg.f64 U) |
| ✓ | 15.4% | U |
Compiled 851 to 558 computations (34.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 7104 | (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 J J) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 J J) (*.f64 U U)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 768 | (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
| ✓ | cost-diff | 0 | (neg.f64 U) |
| ✓ | 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) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
| 3 580× | *-lowering-*.f32 |
| 3 580× | *-lowering-*.f64 |
| 2 960× | accelerator-lowering-fma.f32 |
| 2 960× | accelerator-lowering-fma.f64 |
| 2 050× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 291 |
| 1 | 99 | 282 |
| 2 | 251 | 282 |
| 3 | 546 | 281 |
| 4 | 1235 | 281 |
| 5 | 3992 | 277 |
| 6 | 6952 | 277 |
| 0 | 8082 | 263 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))) |
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))) |
1 |
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))) |
(* (/ U J) U) |
(/ U J) |
U |
(* 2 (+ (* J (cos K)) J)) |
(+ (* J (cos K)) J) |
(cos K) |
(neg U) |
U |
(* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) |
(+ (* -2 (/ (* J J) (* U U))) -1) |
-2 |
(/ (* J J) (* U U)) |
(* J J) |
J |
(* U U) |
U |
-1 |
(neg U) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) |
(+ (* 1/4 (/ (* U U) (* J J))) 1) |
1/4 |
(/ (* U U) (* J J)) |
(* U U) |
U |
(* J J) |
1 |
(* (pow (sqrt (cos (* 1/2 K))) 2) (* -2 J)) |
(pow (sqrt (cos (* 1/2 K))) 2) |
(sqrt (cos (* 1/2 K))) |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
K |
2 |
(* -2 J) |
-2 |
J |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
2 |
#s(literal 2 binary64) |
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))) |
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))) |
(fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))) |
(/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) |
(* (/ U J) U) |
(*.f64 U (/.f64 U J)) |
(/ U J) |
(/.f64 U J) |
U |
(* 2 (+ (* J (cos K)) J)) |
(*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))) |
(+ (* J (cos K)) J) |
(fma.f64 J (cos.f64 K) J) |
(cos K) |
(cos.f64 K) |
(neg U) |
(neg.f64 U) |
U |
(* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) |
(fma.f64 J (/.f64 (*.f64 J #s(literal 2 binary64)) U) U) |
(+ (* -2 (/ (* J J) (* U U))) -1) |
(fma.f64 J (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) #s(literal -1 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ (* J J) (* U U)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(* J J) |
(*.f64 J J) |
J |
(* U U) |
(*.f64 U U) |
U |
-1 |
#s(literal -1 binary64) |
(neg U) |
(neg.f64 U) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
2 |
#s(literal 2 binary64) |
(sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) |
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(+ (* 1/4 (/ (* U U) (* J J))) 1) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(/ (* U U) (* J J)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(* U U) |
(*.f64 U U) |
U |
(* J J) |
(*.f64 J J) |
1 |
#s(literal 1 binary64) |
(* (pow (sqrt (cos (* 1/2 K))) 2) (* -2 J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(pow (sqrt (cos (* 1/2 K))) 2) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(sqrt (cos (* 1/2 K))) |
(sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
K |
2 |
#s(literal 2 binary64) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | accuracy | 99.9% | (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | accuracy | 99.8% | (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 92.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 87.2% | (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
| ✓ | accuracy | 85.2% | (/.f64 (*.f64 U U) (*.f64 J J)) |
| ✓ | accuracy | 100.0% | (*.f64 J J) |
| ✓ | accuracy | 100.0% | (neg.f64 U) |
| ✓ | accuracy | 95.9% | (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
| ✓ | accuracy | 84.8% | (/.f64 (*.f64 J J) (*.f64 U U)) |
| ✓ | accuracy | 100.0% | (neg.f64 U) |
| ✓ | accuracy | 99.8% | (fma.f64 J (cos.f64 K) J) |
| ✓ | accuracy | 95.7% | (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
| ✓ | accuracy | 92.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
| ✓ | accuracy | 87.2% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
| 105.0ms | 184× | 0 | valid |
| 26.0ms | 72× | 0 | invalid |
Compiled 279 to 42 computations (84.9% saved)
ival-add: 30.0ms (36.1% of total)ival-mult: 20.0ms (24.1% of total)ival-cos: 16.0ms (19.3% of total)ival-div: 8.0ms (9.6% of total)ival-sqrt: 5.0ms (6% of total)ival-pow2: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))> |
#<alt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))> |
#<alt (* (* -2 J) (cos (/ K 2)))> |
#<alt (neg U)> |
#<alt (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U))> |
#<alt (+ (* -2 (/ (* J J) (* U U))) -1)> |
#<alt (/ (* J J) (* U U))> |
#<alt (* J J)> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))> |
#<alt (* -2 J)> |
#<alt (cos (/ K 2))> |
#<alt (pow (sqrt (cos (* 1/2 K))) 2)> |
#<alt (* (pow (sqrt (cos (* 1/2 K))) 2) (* -2 J))> |
#<alt (sqrt (cos (* 1/2 K)))> |
#<alt (cos (* 1/2 K))> |
#<alt (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))> |
#<alt (+ (* J (cos K)) J)> |
#<alt (/ (* U U) (* J J))> |
#<alt (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))> |
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))> |
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))> |
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))> |
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))> |
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))> |
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))))> |
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))> |
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))> |
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))> |
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -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))))))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))> |
#<alt (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))> |
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))> |
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))> |
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))> |
#<alt (* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))> |
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))))> |
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))> |
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 J)> |
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))> |
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))> |
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
#<alt (* -1 U)> |
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#<alt (* -1 (* J (- (* -1 (cos K)) 1)))> |
#<alt (* 2 J)> |
#<alt (+ (* -1/2 (* J (pow K 2))) (* 2 J))> |
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))> |
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))> |
#<alt (+ J (* J (cos K)))> |
#<alt (+ J (* J (cos K)))> |
#<alt (+ J (* J (cos K)))> |
#<alt (+ J (* J (cos K)))> |
#<alt (+ J (* J (cos K)))> |
#<alt (+ J (* J (cos K)))> |
#<alt (+ J (* J (cos K)))> |
#<alt (+ J (* J (cos K)))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt (/ (pow U 2) (pow J 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))> |
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))> |
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))> |
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))> |
#<alt (* -1/2 (/ U J))> |
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))> |
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))> |
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | J | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))) |
| 24.0ms | K | @ | -inf | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
| 2.0ms | U | @ | 0 | (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))) |
| 2.0ms | K | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
| 2.0ms | U | @ | inf | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
| 1× | batch-egg-rewrite |
| 5 016× | *-lowering-*.f32 |
| 5 016× | *-lowering-*.f64 |
| 4 486× | /-lowering-/.f32 |
| 4 486× | /-lowering-/.f64 |
| 2 698× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 192 |
| 1 | 188 | 180 |
| 2 | 1336 | 180 |
| 0 | 8106 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))) |
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
(* (* -2 J) (cos (/ K 2))) |
(neg U) |
(* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) |
(+ (* -2 (/ (* J J) (* U U))) -1) |
(/ (* J J) (* U U)) |
(* J J) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))) |
(* -2 J) |
(cos (/ K 2)) |
(pow (sqrt (cos (* 1/2 K))) 2) |
(* (pow (sqrt (cos (* 1/2 K))) 2) (* -2 J)) |
(sqrt (cos (* 1/2 K))) |
(cos (* 1/2 K)) |
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))) |
(+ (* J (cos K)) J) |
(/ (* U U) (* J J)) |
(sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 (*.f64 U U) J) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 U U) J)) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (/.f64 (*.f64 U U) J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U)))))) |
(/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) J)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))))) |
(/.f64 (*.f64 U (neg.f64 U)) (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) J))) |
(/.f64 (neg.f64 (/.f64 (*.f64 U U) J)) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (fma.f64 J (cos.f64 K) J)) |
(/.f64 (*.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 J U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) J)) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 U U) J))) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))) (fma.f64 J (cos.f64 K) J)) |
(/.f64 (neg.f64 (*.f64 U (neg.f64 U))) (neg.f64 (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 U U) J))) (neg.f64 (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (fma.f64 J (cos.f64 K) J)) |
(/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) J) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) (/.f64 J U)) |
(/.f64 (*.f64 (neg.f64 U) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) (neg.f64 J)) |
(/.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) J) |
(/.f64 (*.f64 (/.f64 U J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 U U) J) (fma.f64 J (cos.f64 K) J)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) J))) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 U U) J)))) (neg.f64 (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))))) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) U)) (neg.f64 (*.f64 (/.f64 J U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64))) (neg.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 U U) J)))) (neg.f64 (neg.f64 (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U)) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(/.f64 (neg.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) (neg.f64 J)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) (neg.f64 (/.f64 J U))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 U) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) (neg.f64 (neg.f64 J))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)))) (neg.f64 J)) |
(/.f64 (neg.f64 (*.f64 (/.f64 U J) (/.f64 U (fma.f64 J (cos.f64 K) J)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 U U) J) (fma.f64 J (cos.f64 K) J))) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(*.f64 U (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(*.f64 U (/.f64 (/.f64 U J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(*.f64 (/.f64 U J) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 (*.f64 U U) J)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 (*.f64 U U) J)) |
(*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) (/.f64 U J)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 (/.f64 U J) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (/.f64 U J) (fma.f64 J (cos.f64 K) J)) (/.f64 U #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64)))) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (-.f64 J (*.f64 J (cos.f64 K)))))) |
(*.f64 (/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (neg.f64 (*.f64 J J)))) (-.f64 (*.f64 J (cos.f64 K)) J)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) U) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 U J)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 U J)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) U) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J)) |
(+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))) |
(fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(fma.f64 U (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(fma.f64 U (/.f64 (/.f64 U J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 U J) (/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 (*.f64 U U) J)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (/.f64 U (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) |
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(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
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(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
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(fabs.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
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(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
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(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
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(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(fabs.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
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(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(fabs.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
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(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
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(sqrt.f64 (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))) |
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(pow.f64 (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(+.f64 J (*.f64 J (cos.f64 K))) |
(+.f64 (*.f64 J (cos.f64 K)) J) |
(-.f64 (/.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))) (-.f64 (*.f64 J (cos.f64 K)) J)) (/.f64 (*.f64 J J) (-.f64 (*.f64 J (cos.f64 K)) J))) |
(fma.f64 J (cos.f64 K) J) |
(fma.f64 (cos.f64 K) J J) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (-.f64 J (*.f64 J (cos.f64 K))))) (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 J (cos.f64 K)) J) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (neg.f64 (*.f64 J J))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 J (cos.f64 K)) J) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (neg.f64 (*.f64 J J)))))) |
(/.f64 (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64))) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (-.f64 J (*.f64 J (cos.f64 K)))))) |
(/.f64 (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))) (*.f64 J (*.f64 J (cos.f64 K)))))) |
(/.f64 (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (neg.f64 (*.f64 J J))) (-.f64 (*.f64 J (cos.f64 K)) J)) |
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(/.f64 (neg.f64 (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 J J (-.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))) (*.f64 J (*.f64 J (cos.f64 K))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 J J) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (neg.f64 (-.f64 J (*.f64 J (cos.f64 K))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (-.f64 J (*.f64 J (cos.f64 K))))) (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 J (cos.f64 K)) J) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (neg.f64 (*.f64 J J)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (-.f64 J (*.f64 J (cos.f64 K))))))) |
(*.f64 (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (neg.f64 (*.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 J (cos.f64 K)) J))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) J) |
(exp.f64 (*.f64 (log.f64 (/.f64 U J)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)) (*.f64 (log.f64 J) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J)))) |
(neg.f64 (/.f64 (*.f64 U (neg.f64 U)) (*.f64 J J))) |
(/.f64 (/.f64 U J) (/.f64 J U)) |
(/.f64 (/.f64 (*.f64 U U) J) J) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) |
(/.f64 #s(literal 1 binary64) (/.f64 J (/.f64 (*.f64 U U) J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))))) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (/.f64 (*.f64 U U) J)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (*.f64 J J))) |
(/.f64 (neg.f64 (/.f64 (*.f64 U U) J)) (neg.f64 J)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) |
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U))) |
(/.f64 (*.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 J U) J)) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 J J)) |
(/.f64 (*.f64 U #s(literal 1 binary64)) (/.f64 (*.f64 J J) U)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 U)) (*.f64 (/.f64 J U) (neg.f64 J))) |
(/.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64)) (*.f64 (neg.f64 J) (/.f64 J U))) |
(/.f64 (neg.f64 (*.f64 U (neg.f64 U))) (neg.f64 (neg.f64 (*.f64 J J)))) |
(/.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 J U))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 U U) J))) (neg.f64 (neg.f64 J))) |
(/.f64 (*.f64 (/.f64 U J) #s(literal 1 binary64)) (/.f64 J U)) |
(/.f64 (neg.f64 (*.f64 U #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 J J) U))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) J)) (neg.f64 (/.f64 J (*.f64 U U)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 U (neg.f64 U)))) (neg.f64 (neg.f64 (neg.f64 (*.f64 J J))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) U)) (neg.f64 (*.f64 (/.f64 J U) J))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64))) (neg.f64 (*.f64 J J))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 U))) (neg.f64 (*.f64 (/.f64 J U) (neg.f64 J)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 J) (/.f64 J U)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 U J) #s(literal 1 binary64))) (neg.f64 (/.f64 J U))) |
(pow.f64 (/.f64 U J) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 J U) #s(literal -2 binary64)) |
(pow.f64 (/.f64 J (/.f64 (*.f64 U U) J)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 U (/.f64 U (*.f64 J J))) |
(*.f64 (/.f64 U J) (/.f64 U J)) |
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (neg.f64 J)) #s(literal 2 binary64))) |
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 J J))) |
(*.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) #s(literal 2 binary64))) |
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (*.f64 U U)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 U U) J)) |
(*.f64 (/.f64 U (*.f64 J J)) U) |
(*.f64 (/.f64 U (*.f64 J J)) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64))) |
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 U (neg.f64 J))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))) (*.f64 U (neg.f64 U))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (neg.f64 U))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (neg.f64 U) J)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J J))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (neg.f64 U))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 (*.f64 J J) (*.f64 J J))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 11 926× | accelerator-lowering-fma.f32 |
| 11 926× | accelerator-lowering-fma.f64 |
| 8 834× | *-lowering-*.f32 |
| 8 834× | *-lowering-*.f64 |
| 3 630× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 697 | 7974 |
| 1 | 2224 | 7731 |
| 0 | 8408 | 7262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
1 |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
1 |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
1 |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))) |
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
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(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))) |
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))) |
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))) |
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(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
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(* 2 (/ (pow J 2) U)) |
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(* 2 (/ (pow J 2) U)) |
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(/ (+ (* 2 (pow J 2)) (pow U 2)) U) |
(/ (+ (* 2 (pow J 2)) (pow U 2)) U) |
(/ (+ (* 2 (pow J 2)) (pow U 2)) U) |
U |
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))) |
U |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(* -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 U 2))) 1) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(* -2 (/ (pow J 2) (pow U 2))) |
(* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2))))) |
(* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2))))) |
(* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2))))) |
(* -2 (/ (pow J 2) (pow U 2))) |
(* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2))))) |
(* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2))))) |
(* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2))))) |
(* -2 (/ (pow J 2) (pow U 2))) |
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2)) |
-1 |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
-1 |
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(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
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(pow J 2) |
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(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
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(pow J 2) |
(pow J 2) |
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(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3)))))) |
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))) |
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(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
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(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
(* U (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
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(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
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(cos (* 1/2 K)) |
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1 |
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(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
1 |
(+ 1 (* -1/16 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* -1/1536 (pow K 2)) 1/16))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (- (* -19/368640 (pow K 2)) 1/1536)) 1/16))) |
(sqrt (cos (* 1/2 K))) |
(sqrt (cos (* 1/2 K))) |
(sqrt (cos (* 1/2 K))) |
(sqrt (cos (* 1/2 K))) |
(sqrt (cos (* 1/2 K))) |
(sqrt (cos (* 1/2 K))) |
(sqrt (cos (* 1/2 K))) |
(sqrt (cos (* 1/2 K))) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ J (* J (cos K))))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/128 (/ (pow U 2) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/32 (/ 1 (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ J (* J (cos K))))))))) |
(* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (sqrt 1/2))) |
(* U (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))) |
(* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))) |
(* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/16 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ 1 (* (pow U 6) (pow (sqrt 1/2) 5))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))))) |
(* -1 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (sqrt 1/2)))) |
(* -1 (* U (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))) |
(* -1 (* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))))) |
(* -1 (* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/16 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ 1 (* (pow U 6) (pow (sqrt 1/2) 5))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))))) |
(* (/ (* U (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K))))) |
(/ (+ (* 1/2 (* (/ (pow J 2) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) J) |
(/ (+ (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (pow J 2) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (* 1/2 (* (/ 1 (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) J) |
(/ (+ (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K))))) (* (pow J 2) (+ (* 1/2 (* (/ 1 (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ 1 (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (* 1/16 (* (/ (pow J 2) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5))))))))) J) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/128 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
1 |
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))))) |
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* 2 J) |
(+ (* -1/2 (* J (pow K 2))) (* 2 J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
(/ (pow U 2) (pow J 2)) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2)))))) |
(* 1/2 (/ U J)) |
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
| Outputs |
|---|
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/96 binary64) (*.f64 K K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/5760 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/192 binary64))) (*.f64 (*.f64 K K) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K)))))) |
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2))))))))) |
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(* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2))))) |
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(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))) |
(*.f64 U (-.f64 (*.f64 (sqrt.f64 (/.f64 J (fma.f64 J (cos.f64 K) J))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J (*.f64 J J)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))) |
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(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))) |
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(* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2))))) |
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(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))) |
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(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))) |
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(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))) |
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(* U (cos (* 1/2 K))) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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1 |
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(cos (* 1/2 K)) |
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(cos (* 1/2 K)) |
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(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
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(cos (* 1/2 K)) |
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(* -2 J) |
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(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/16 (pow K 2))) |
(fma.f64 K (*.f64 K #s(literal -1/16 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow K 2) (- (* -1/1536 (pow K 2)) 1/16))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/1536 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (- (* -19/368640 (pow K 2)) 1/1536)) 1/16))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -19/368640 binary64) #s(literal -1/1536 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) |
(sqrt (cos (* 1/2 K))) |
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(sqrt (cos (* 1/2 K))) |
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(sqrt (cos (* 1/2 K))) |
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(sqrt (cos (* 1/2 K))) |
(sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(sqrt (cos (* 1/2 K))) |
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1 |
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1 |
#s(literal 1 binary64) |
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(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* J (+ 1 (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(*.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) (neg.f64 J)) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(*.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) (neg.f64 J)) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(*.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) (neg.f64 J)) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(*.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) (neg.f64 J)) |
(* 2 J) |
(*.f64 #s(literal 2 binary64) J) |
(+ (* -1/2 (* J (pow K 2))) (* 2 J)) |
(fma.f64 #s(literal 2 binary64) J (*.f64 J (*.f64 #s(literal -1/2 binary64) (*.f64 K K)))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) |
(fma.f64 (*.f64 (fma.f64 J (*.f64 (*.f64 K K) #s(literal 1/24 binary64)) (*.f64 J #s(literal -1/2 binary64))) K) K (*.f64 #s(literal 2 binary64) J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/720 binary64)) (*.f64 J #s(literal 1/24 binary64))) (*.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(/ (pow U 2) (pow J 2)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (*.f64 J J)))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #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 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (*.f64 J (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64)) |
(* 1/2 (/ U J)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J) |
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(*.f64 U (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) |
(* -1/2 (/ U J)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(neg.f64 (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))) |
(* -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) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) |
(* 1/2 (/ U J)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J) |
(/ (+ (* 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 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.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 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal 1 binary64) U)) (*.f64 #s(literal 1/2 binary64) U)) J) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 J (*.f64 J (*.f64 J J)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 J (*.f64 J (*.f64 J J))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 J (*.f64 J (*.f64 J J)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 J (*.f64 J (*.f64 J J))))))) |
Compiled 25 991 to 2 544 computations (90.2% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 019 | 15 | 1 034 |
| Fresh | 3 | 11 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 025 | 30 | 1 055 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 13.8% | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
| 13.8% | (fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) | |
| 25.4% | (fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) | |
| ▶ | 50.2% | (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
| 19.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) | |
| 2.6% | (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) | |
| 15.2% | (*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) | |
| 25.1% | (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) | |
| 13.9% | (*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) | |
| 15.2% | (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) | |
| 36.9% | (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) | |
| ✓ | 36.5% | (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
| 43.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 50.1% | (*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) | |
| ▶ | 70.5% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
| 36.5% | (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| 47.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) | |
| 50.2% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))))) | |
| 63.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) | |
| 69.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)))))) | |
| ▶ | 6.4% | (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
| 32.9% | (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) | |
| 41.6% | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) | |
| 36.9% | (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) | |
| 19.2% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) | |
| ✓ | 51.4% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
| 47.7% | (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| ▶ | 27.3% | (*.f64 J #s(literal -2 binary64)) |
| ✓ | 38.5% | (neg.f64 U) |
| ✓ | 15.4% | U |
Compiled 1 214 to 786 computations (35.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | cost-diff | 0 | (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
| ✓ | cost-diff | 640 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) U) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J))) |
| ✓ | cost-diff | 0 | (*.f64 J J) |
| ✓ | cost-diff | 1152 | (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
| ✓ | cost-diff | 0 | (*.f64 J #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
| 13 314× | accelerator-lowering-fma.f32 |
| 13 314× | accelerator-lowering-fma.f64 |
| 6 280× | *-lowering-*.f32 |
| 6 280× | *-lowering-*.f64 |
| 2 344× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 302 |
| 1 | 121 | 302 |
| 2 | 314 | 298 |
| 3 | 977 | 290 |
| 4 | 3227 | 286 |
| 5 | 5278 | 286 |
| 6 | 7275 | 286 |
| 0 | 8328 | 270 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
(* (* J (cos (* K 1/2))) -2) |
(* J (cos (* K 1/2))) |
J |
(cos (* K 1/2)) |
(* K 1/2) |
K |
1/2 |
-2 |
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))) |
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))) |
1 |
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))) |
(* (/ U J) U) |
(/ U J) |
U |
(* 2 (+ (* J (cos K)) J)) |
2 |
(+ (* J (cos K)) J) |
(cos K) |
(* J -2) |
J |
-2 |
(* (* J J) (+ (/ 2 U) (/ U (* J J)))) |
(* J J) |
J |
(+ (/ 2 U) (/ U (* J J))) |
(/ 2 U) |
2 |
U |
(/ U (* J J)) |
(+ (* (* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2) U) U) |
(* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2) |
(* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) |
(+ (* 1/2 (cos K)) 1/2) |
1/2 |
(cos K) |
K |
(/ (* J J) (* U U)) |
(* J J) |
J |
(* U U) |
U |
2 |
(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) |
-2 |
(* J (cos (* 1/2 K))) |
J |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
K |
(/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) |
(* -1/4 (* U U)) |
-1/4 |
(* U U) |
U |
| Outputs |
|---|
(* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 1/2 binary64) U) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* (* J (cos (* K 1/2))) -2) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(* J (cos (* K 1/2))) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos (* K 1/2)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* K 1/2) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
1/2 |
#s(literal 1/2 binary64) |
-2 |
#s(literal -2 binary64) |
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))) |
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 1/2 binary64) U) #s(literal 1 binary64))) |
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))) |
(fma.f64 (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 1/2 binary64) U) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))) |
(/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) |
(* (/ U J) U) |
(/.f64 (*.f64 U U) J) |
(/ U J) |
(/.f64 U J) |
U |
(* 2 (+ (* J (cos K)) J)) |
(*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ (* J (cos K)) J) |
(fma.f64 J (cos.f64 K) J) |
(cos K) |
(cos.f64 K) |
(* J -2) |
(*.f64 J #s(literal -2 binary64)) |
J |
-2 |
#s(literal -2 binary64) |
(* (* J J) (+ (/ 2 U) (/ U (* J J)))) |
(fma.f64 J (/.f64 (*.f64 J #s(literal 2 binary64)) U) U) |
(* J J) |
(*.f64 J J) |
J |
(+ (/ 2 U) (/ U (* J J))) |
(+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J))) |
(/ 2 U) |
(/.f64 #s(literal 2 binary64) U) |
2 |
#s(literal 2 binary64) |
U |
(/ U (* J J)) |
(/.f64 U (*.f64 J J)) |
(+ (* (* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2) U) U) |
(fma.f64 (fma.f64 J (cos.f64 K) J) (/.f64 J U) U) |
(* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2) |
(/.f64 (*.f64 J (fma.f64 J (cos.f64 K) J)) (*.f64 U U)) |
(* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) |
(/.f64 (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U U)) |
(+ (* 1/2 (cos K)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(cos K) |
(cos.f64 K) |
K |
(/ (* J J) (* U U)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(* J J) |
(*.f64 J J) |
J |
(* U U) |
(*.f64 U U) |
U |
2 |
#s(literal 2 binary64) |
(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) |
(fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
-2 |
#s(literal -2 binary64) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* 1/2 K) |
(*.f64 K #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
K |
(/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) |
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(* -1/4 (* U U)) |
(*.f64 U (*.f64 U #s(literal -1/4 binary64))) |
-1/4 |
#s(literal -1/4 binary64) |
(* U U) |
(*.f64 U U) |
U |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
| ✓ | accuracy | 99.8% | (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | accuracy | 91.0% | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) |
| ✓ | accuracy | 99.4% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 94.1% | (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
| ✓ | accuracy | 78.9% | (/.f64 (*.f64 J J) (*.f64 U U)) |
| ✓ | accuracy | 100.0% | (*.f64 J J) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J))) |
| ✓ | accuracy | 89.3% | (/.f64 U (*.f64 J J)) |
| ✓ | accuracy | 66.9% | (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
| ✓ | accuracy | 100.0% | (*.f64 J #s(literal -2 binary64)) |
| ✓ | accuracy | 99.5% | (fma.f64 J (cos.f64 K) J) |
| ✓ | accuracy | 94.6% | (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
| ✓ | accuracy | 87.5% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
| ✓ | accuracy | 84.6% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
| 120.0ms | 256× | 0 | valid |
Compiled 292 to 45 computations (84.6% saved)
ival-div: 40.0ms (41.2% of total)ival-mult: 26.0ms (26.8% of total)ival-cos: 18.0ms (18.6% of total)ival-add: 6.0ms (6.2% of total)ival-sqrt: 5.0ms (5.2% of total)exact: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))> |
#<alt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))> |
#<alt (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))> |
#<alt (* (* J (cos (* K 1/2))) -2)> |
#<alt (* J -2)> |
#<alt (* (* J J) (+ (/ 2 U) (/ U (* J J))))> |
#<alt (* J J)> |
#<alt (+ (/ 2 U) (/ U (* J J)))> |
#<alt (/ 2 U)> |
#<alt (+ (* (* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2) U) U)> |
#<alt (* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2)> |
#<alt (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U)))> |
#<alt (+ (* 1/2 (cos K)) 1/2)> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))> |
#<alt (* J (cos (* 1/2 K)))> |
#<alt (cos (* 1/2 K))> |
#<alt (* 1/2 K)> |
#<alt (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))> |
#<alt (+ (* J (cos K)) J)> |
#<alt (/ U (* J J))> |
#<alt (/ (* J J) (* U U))> |
#<alt (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))> |
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))> |
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))> |
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))> |
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))> |
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))> |
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))> |
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))> |
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))> |
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))> |
#<alt (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))> |
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))))> |
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))> |
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))> |
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#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) J))> |
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))> |
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))> |
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | J | @ | -inf | (+ (/ 2 U) (/ U (* J J))) |
| 10.0ms | J | @ | inf | (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) |
| 1.0ms | K | @ | 0 | (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) |
| 1.0ms | K | @ | -inf | (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) |
| 1.0ms | K | @ | inf | (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) |
| 1× | batch-egg-rewrite |
| 5 746× | /-lowering-/.f32 |
| 5 746× | /-lowering-/.f64 |
| 4 422× | accelerator-lowering-fma.f32 |
| 4 422× | accelerator-lowering-fma.f64 |
| 4 002× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 232 |
| 1 | 238 | 224 |
| 2 | 2217 | 222 |
| 0 | 9000 | 206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))) |
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))) |
(* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))) |
(* (* J (cos (* K 1/2))) -2) |
(* J -2) |
(* (* J J) (+ (/ 2 U) (/ U (* J J)))) |
(* J J) |
(+ (/ 2 U) (/ U (* J J))) |
(/ 2 U) |
(+ (* (* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2) U) U) |
(* (* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) 2) |
(* (+ (* 1/2 (cos K)) 1/2) (/ (* J J) (* U U))) |
(+ (* 1/2 (cos K)) 1/2) |
(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) |
(* J (cos (* 1/2 K))) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))) |
(+ (* J (cos K)) J) |
(/ U (* J J)) |
(/ (* J J) (* U U)) |
(/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) (/.f64 (*.f64 U (/.f64 U J)) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) (/.f64 (*.f64 U U) (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(neg.f64 (/.f64 (*.f64 U (/.f64 U J)) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 U (/.f64 U J))) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 U (/.f64 U J)) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) (*.f64 U U))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) J) (*.f64 U U))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) (neg.f64 (*.f64 U U)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 J U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 1 binary64) U))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U J))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 U (/.f64 U J)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) (*.f64 (*.f64 U U) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (cos.f64 K) J) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U))) |
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J U) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 J) (*.f64 (neg.f64 U) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 U J) (/.f64 U (fma.f64 J (cos.f64 K) J))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 U (/.f64 U J)) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) J)) |
(/.f64 (neg.f64 (*.f64 U (/.f64 U J))) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 U U)) (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) J))) |
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (fma.f64 J (cos.f64 K) J)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))))) |
(/.f64 (*.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 J U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U J))) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 U (/.f64 U J)))) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))) (fma.f64 J (cos.f64 K) J)) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 U (/.f64 U J)))) (neg.f64 (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 U U))) (neg.f64 (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (fma.f64 J (cos.f64 K) J)) |
(/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))) J) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))) (/.f64 J U)) |
(/.f64 (*.f64 (neg.f64 U) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))) (neg.f64 J)) |
(/.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) J) |
(/.f64 (*.f64 (/.f64 U J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 U (/.f64 U J)) (fma.f64 J (cos.f64 K) J)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) U)) (neg.f64 (*.f64 (/.f64 J U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U J)))) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 U (/.f64 U J))))) (neg.f64 (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))))) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64))) (neg.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 U (/.f64 U J))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U)) (neg.f64 (fma.f64 J (cos.f64 K) J))) |
(/.f64 (neg.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J)))) (neg.f64 J)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J)))) (neg.f64 (/.f64 J U))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 U) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J)))) (neg.f64 (neg.f64 J))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)))) (neg.f64 J)) |
(/.f64 (neg.f64 (*.f64 (/.f64 U J) (/.f64 U (fma.f64 J (cos.f64 K) J)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 U (/.f64 U J)) (fma.f64 J (cos.f64 K) J))) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -1 binary64)) |
(*.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J)))) |
(*.f64 U (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(*.f64 U (/.f64 (/.f64 U J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) |
(*.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (*.f64 U (/.f64 U J)) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (*.f64 U (/.f64 U J))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 U (/.f64 U J))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal -2 binary64)))) |
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 (/.f64 U J) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 U J)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)) (*.f64 U (/.f64 U J))) |
(*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J)) (/.f64 U J)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U J))) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (/.f64 U J) (fma.f64 J (cos.f64 K) J)) (*.f64 U #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (cos.f64 K) J)) (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64)))) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (-.f64 J (*.f64 J (cos.f64 K)))))) |
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (neg.f64 (*.f64 J J)))) (-.f64 (*.f64 J (cos.f64 K)) J)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 J (cos.f64 K) J) (/.f64 U J)) #s(literal -1 binary64)) (*.f64 U #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J)) |
(+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)))) |
(fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(fma.f64 U (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(fma.f64 U (/.f64 (/.f64 U J) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 U (/.f64 U J)) (/.f64 #s(literal 1/2 binary64) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) J)) |
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U (/.f64 U J))) |
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U J)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 U (/.f64 U J))) |
(*.f64 (pow.f64 (/.f64 J (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 U J)) |
| 1× | egg-herbie |
| 12 558× | accelerator-lowering-fma.f32 |
| 12 558× | accelerator-lowering-fma.f64 |
| 8 850× | *-lowering-*.f32 |
| 8 850× | *-lowering-*.f64 |
| 3 624× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 9421 |
| 1 | 2207 | 9243 |
| 0 | 8435 | 8660 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
1 |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
1 |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
1 |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))) |
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2))))))))) |
(* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2))))) |
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))) |
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))) |
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))) |
(* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2))))) |
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))) |
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))) |
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
U |
(+ U (* 2 (/ (pow J 2) U))) |
(+ U (* 2 (/ (pow J 2) U))) |
(+ U (* 2 (/ (pow J 2) U))) |
(* 2 (/ (pow J 2) U)) |
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2)))) |
(* 2 (/ (pow J 2) U)) |
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2)))) |
(* 2 (/ (pow J 2) U)) |
(/ (+ (* 2 (pow J 2)) (pow U 2)) U) |
(/ (+ (* 2 (pow J 2)) (pow U 2)) U) |
(/ (+ (* 2 (pow J 2)) (pow U 2)) U) |
U |
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))) |
U |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
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1 |
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1 |
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* J (+ 1 (cos K))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* -1 (* J (- (* -1 (cos K)) 1))) |
(* 2 J) |
(+ (* -1/2 (* J (pow K 2))) (* 2 J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(+ J (* J (cos K))) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ U (pow J 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) J)) |
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J))) |
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) |
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
| Outputs |
|---|
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))) |
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/96 binary64) (*.f64 K K)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/5760 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/192 binary64)))) (/.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 U U)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (*.f64 J J)) (*.f64 J J)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (*.f64 J J)) (*.f64 J J)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (*.f64 J J)) (*.f64 J J)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))) #s(literal 1 binary64)) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2))))) |
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(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(+ J (* J (cos K))) |
(fma.f64 J (cos.f64 K) J) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ U (pow J 2)) |
(/.f64 U (*.f64 J J)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(/ (pow J 2) (pow U 2)) |
(/.f64 (*.f64 J J) (*.f64 U U)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) J)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) |
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J))) |
(fma.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64)) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) (fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/3072 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) J)) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
Compiled 37 081 to 3 528 computations (90.5% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 377 | 11 | 1 388 |
| Fresh | 6 | 15 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 387 | 31 | 1 418 |
| Status | Accuracy | Program |
|---|---|---|
| 13.8% | (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) | |
| 15.3% | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) | |
| 52.9% | (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) | |
| 15.3% | (fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) | |
| 50.2% | (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| 25.4% | (fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) | |
| 49.2% | (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) | |
| 32.8% | (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) | |
| 19.1% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) | |
| 15.2% | (*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) | |
| 25.1% | (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) | |
| 15.2% | (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) | |
| 18.7% | (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64))))))) | |
| 36.9% | (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) | |
| ✓ | 36.5% | (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
| 43.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 50.1% | (*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) | |
| 36.5% | (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| 47.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) | |
| 63.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) | |
| 21.7% | (*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| 2.6% | (*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) | |
| 32.9% | (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) | |
| 41.6% | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) | |
| 36.9% | (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) | |
| 19.2% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) | |
| ✓ | 51.4% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | 27.3% | (*.f64 J #s(literal -2 binary64)) |
| ✓ | 38.5% | (neg.f64 U) |
| ✓ | 15.4% | U |
Compiled 1 750 to 663 computations (62.1% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) 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))))) |
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 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 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64))))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
U |
6 calls:
| 18.0ms | (/.f64 K #s(literal 2 binary64)) |
| 18.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 17.0ms | J |
| 17.0ms | K |
| 16.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | J |
| 72.0% | 1 | K |
| 83.2% | 2 | U |
| 99.9% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 72.0% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 72.0% | 1 | (/.f64 K #s(literal 2 binary64)) |
Compiled 52 to 37 computations (28.8% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) 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))))) |
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 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 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))) |
U |
1 calls:
| 13.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) 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))))) |
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) |
U |
1 calls:
| 15.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 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 27 to 17 computations (37% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) 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))))) |
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) |
U |
1 calls:
| 13.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
U |
1 calls:
| 7.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 6 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
U |
1 calls:
| 9.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 5 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 (*.f64 J J) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) U) U) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
U |
2 calls:
| 8.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 7.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 3 | U |
| 84.9% | 5 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 31 to 20 computations (35.5% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(neg.f64 U) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
6 calls:
| 14.0ms | J |
| 7.0ms | K |
| 6.0ms | U |
| 6.0ms | (/.f64 K #s(literal 2 binary64)) |
| 5.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 2 | U |
| 46.2% | 3 | K |
| 46.2% | 3 | (/.f64 K #s(literal 2 binary64)) |
| 55.7% | 3 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 49.4% | 2 | J |
| 70.2% | 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 52 to 37 computations (28.8% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)) |
(fma.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) U U) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J)))) |
(*.f64 (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 J U) (/.f64 U J)) #s(literal -1 binary64)) (neg.f64 U)) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) J) J (*.f64 U #s(literal 1 binary64))) |
1 calls:
| 6.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) |
(fma.f64 J #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
| Outputs |
|---|
(neg.f64 U) |
(*.f64 J #s(literal -2 binary64)) |
U |
1 calls:
| 3.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 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 27 to 17 computations (37% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
| Outputs |
|---|
(neg.f64 U) |
U |
2 calls:
| 2.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 2.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 2 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 52.5% | 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 23 computations (32.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
U |
| Outputs |
|---|
U |
6 calls:
| 2.0ms | U |
| 1.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 1.0ms | (/.f64 K #s(literal 2 binary64)) |
| 1.0ms | J |
| 1.0ms | K |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.4% | 1 | K |
| 15.4% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 15.4% | 1 | J |
| 15.4% | 1 | U |
| 15.4% | 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))))) |
| 15.4% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
Compiled 52 to 37 computations (28.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.828782320912952e+286 | +inf |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.828782320912952e+286 | +inf |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.828782320912952e+286 | +inf |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.828782320912952e+286 | +inf |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.828782320912952e+286 | +inf |
| 0.0ms | -2.852509941756016e-240 | -2.0684264929917683e-257 |
| 0.0ms | -7.776767377983836e+66 | -3.1468434497189895e+52 |
| 0.0ms | -1.0458227822418638e+162 | -4.412535976947761e+159 |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.828782320912952e+286 | +inf |
| 0.0ms | -2.852509941756016e-240 | -2.0684264929917683e-257 |
| 0.0ms | -2.8406687406979706e+104 | -8.056914802722699e+103 |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.828782320912952e+286 | +inf |
| 0.0ms | -1.484615621040807e-72 | -2.2685400456746725e-83 |
| 0.0ms | -2.8406687406979706e+104 | -8.056914802722699e+103 |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.0684264929917683e-257 | 1.4472979045464157e-280 |
| 0.0ms | -5.17603399920246e-133 | -1.2013556808137767e-136 |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.0684264929917683e-257 | 1.4472979045464157e-280 |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.0684264929917683e-257 | 1.4472979045464157e-280 |
| 0.0ms | -inf | -9.335462215906257e+304 |
Compiled 30 to 23 computations (23.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.0684264929917683e-257 | 1.4472979045464157e-280 |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
| 50× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 6× | neg-mul-1_binary64 |
| 4× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 1068 |
| 1 | 151 | 1068 |
| 2 | 160 | 1068 |
| 3 | 163 | 1068 |
| 4 | 166 | 1068 |
| 5 | 169 | 1068 |
| 6 | 171 | 1068 |
| 1× | saturated |
| 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)) (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 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624 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))))) 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)) (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 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))) 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)) (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 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))) 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)) (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 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) U)) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4999999999999999913683878919592799158619891437790466139288573575168 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1876879207201175/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) U))))) |
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 -200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) (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 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) U)))) |
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (neg.f64 U) U) |
U |
| Outputs |
|---|
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (neg.f64 U) U) |
U |
| 19 354× | accelerator-lowering-fma.f32 |
| 19 354× | accelerator-lowering-fma.f64 |
| 12 592× | accelerator-lowering-fma.f32 |
| 12 592× | accelerator-lowering-fma.f64 |
| 11 926× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 697 | 7974 |
| 1 | 2224 | 7731 |
| 0 | 8408 | 7262 |
| 0 | 360 | 3717 |
| 1 | 1153 | 3609 |
| 2 | 4514 | 3477 |
| 0 | 8499 | 3319 |
| 0 | 43 | 232 |
| 1 | 238 | 224 |
| 2 | 2217 | 222 |
| 0 | 9000 | 206 |
| 0 | 17 | 66 |
| 1 | 68 | 66 |
| 2 | 420 | 66 |
| 3 | 4348 | 66 |
| 0 | 8113 | 66 |
| 0 | 44 | 257 |
| 1 | 223 | 205 |
| 2 | 1717 | 192 |
| 0 | 8600 | 187 |
| 0 | 40 | 192 |
| 1 | 188 | 180 |
| 2 | 1336 | 180 |
| 0 | 8106 | 168 |
| 0 | 714 | 10341 |
| 1 | 2334 | 10067 |
| 0 | 8364 | 9511 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 589 to 491 computations (69.1% saved)
(abs K)
Compiled 3 036 to 488 computations (83.9% saved)
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