
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 11 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 28 to 18 computations (35.7% saved)
ival-mult: 74.0ms (36.7% of total)ival-cos: 35.0ms (17.4% of total)ival-div: 29.0ms (14.4% of total)ival-pow: 29.0ms (14.4% of total)ival-sqrt: 17.0ms (8.4% of total)ival-add: 11.0ms (5.5% of total)const: 5.0ms (2.5% of total)backward-pass: 1.0ms (0.5% of total)| 1.6s | 8256× | 0 | valid |
ival-mult: 367.0ms (32.9% of total)ival-cos: 299.0ms (26.8% of total)ival-div: 188.0ms (16.9% of total)ival-pow: 112.0ms (10% of total)ival-sqrt: 63.0ms (5.7% of total)ival-add: 62.0ms (5.6% of total)const: 20.0ms (1.8% of total)backward-pass: 4.0ms (0.4% of total)| 2× | egg-herbie |
| 1106× | sum3-define |
| 994× | distribute-lft-neg-in |
| 852× | *-lowering-*.f32 |
| 852× | *-lowering-*.f64 |
| 820× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 246 |
| 1 | 192 | 210 |
| 2 | 648 | 210 |
| 3 | 2306 | 210 |
| 4 | 4630 | 210 |
| 0 | 17 | 24 |
| 1 | 33 | 21 |
| 2 | 79 | 21 |
| 3 | 206 | 21 |
| 4 | 619 | 21 |
| 5 | 1133 | 21 |
| 6 | 1568 | 21 |
| 7 | 1630 | 21 |
| 8 | 1648 | 21 |
| 9 | 1666 | 21 |
| 10 | 1674 | 21 |
| 11 | 1676 | 21 |
| 12 | 1676 | 21 |
| 0 | 1676 | 21 |
| 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 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| Inputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))) |
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))) |
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))) |
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))) |
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2)))) |
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2)))) |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2))))) |
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))) |
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2))))) |
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2))))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2))))) |
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))) |
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2))))) |
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))) |
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2))))) |
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))) |
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2))))) |
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2)))) |
(* -2 (* (hypot 1 (/ U (* (cos (/ J 2)) (* K 2)))) (* K (cos (/ J 2))))) |
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2)))) |
(* -2 (* (hypot 1 (/ (/ (/ J 2) U) (cos (/ K 2)))) (* (cos (/ K 2)) U))) |
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2)))) |
(* (* (* -2 J) (cos (* U 1/2))) (hypot 1 (/ (/ (/ K 2) J) (cos (* U 1/2))))) |
(abs K)
(abs U)
(negabs J)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 40 | 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)))) |
| 39 | 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 #s(literal -2 binary64) J) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | #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 | - | J |
| 0 | 76 | (4.9464594519411627e+95 6.166959276172054e-252 1.6707552923957447e+189) | 0 | - | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | U |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) J) |
| 0 | 127 | (2.3594701296900033e+184 2.851589223313361e+193 2.2309575102554824e-219) | 0 | - | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 K #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | K |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 173.0ms | 512× | 0 | valid |
Compiled 255 to 53 computations (79.2% saved)
ival-cos: 26.0ms (35.1% of total)ival-mult: 23.0ms (31% of total)ival-div: 8.0ms (10.8% of total)ival-pow: 6.0ms (8.1% of total)ival-sqrt: 5.0ms (6.7% of total)ival-add: 4.0ms (5.4% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)Compiled 24 to 15 computations (37.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ▶ | 70.6% | (*.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 51 to 32 computations (37.3% saved)
| 1× | egg-herbie |
Found 8 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)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (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))))) |
| ✓ | cost-diff | 6528 | (sqrt.f64 (+.f64 #s(literal 1 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 |
| 822× | associate-*r/ |
| 758× | /-lowering-/.f32 |
| 758× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 177 |
| 1 | 55 | 177 |
| 2 | 108 | 177 |
| 3 | 307 | 177 |
| 4 | 795 | 177 |
| 5 | 1314 | 177 |
| 6 | 1566 | 177 |
| 7 | 1846 | 177 |
| 8 | 2125 | 177 |
| 9 | 2199 | 177 |
| 10 | 2199 | 177 |
| 11 | 2339 | 177 |
| 12 | 2339 | 177 |
| 0 | 2339 | 177 |
| 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) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) |
1 |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/ U (* J 2)) |
U |
(* J 2) |
| Outputs |
|---|
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (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))) |
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/ U (* (* 2 J) (cos (/ K 2)))) |
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
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)) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (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 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) |
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/ U (* J 2)) |
(/.f64 (/.f64 U J) #s(literal 2 binary64)) |
U |
(* J 2) |
(*.f64 J #s(literal 2 binary64)) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 85.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 85.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 85.4% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| 104.0ms | 256× | 0 | valid |
Compiled 189 to 23 computations (87.8% saved)
ival-mult: 15.0ms (32.9% of total)ival-div: 7.0ms (15.4% of total)compiled-spec: 7.0ms (15.4% of total)ival-cos: 6.0ms (13.2% of total)ival-sqrt: 4.0ms (8.8% of total)ival-add: 3.0ms (6.6% of total)ival-pow: 3.0ms (6.6% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))> |
#<alt (* (* -2 J) (cos (/ K 2)))> |
#<alt (* -2 J)> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))> |
#<alt (cos (/ K 2))> |
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)> |
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))> |
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))> |
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))> |
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))> |
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))> |
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))> |
#<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> |
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#<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 (* 1/4 (/ (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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))> |
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))> |
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | K | @ | -inf | (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
| 3.0ms | K | @ | 0 | (* (* -2 J) (cos (/ K 2))) |
| 2.0ms | K | @ | 0 | (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
| 2.0ms | K | @ | inf | (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
| 2.0ms | K | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 1× | batch-egg-rewrite |
| 4472× | *-lowering-*.f32 |
| 4472× | *-lowering-*.f64 |
| 2962× | /-lowering-/.f32 |
| 2962× | /-lowering-/.f64 |
| 1154× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 90 |
| 1 | 121 | 90 |
| 2 | 897 | 90 |
| 0 | 8748 | 90 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(cos (/ K 2)) |
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/2 binary64))) |
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -6 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/2 binary64)) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64))) |
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))))) |
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))))) |
(neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) |
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))))) |
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(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) U))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U J))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 U J))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) |
(*.f64 (*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 U (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J U))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(neg.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 U J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) |
(/.f64 (/.f64 U J) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 U J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal -2 binary64)) U))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 J #s(literal -2 binary64)) U)) |
(/.f64 (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)) |
(/.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))) |
(/.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) U))) (exp.f64 (log.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (/.f64 U #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))) |
(/.f64 (neg.f64 (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) J)) |
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) |
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J U))) |
(*.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 U J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)) |
(*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (pow.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) U)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U J)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(*.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 U (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 U (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 U J)) |
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) U)) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U J)) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 6680× | *-lowering-*.f32 |
| 6680× | *-lowering-*.f64 |
| 1846× | /-lowering-/.f32 |
| 1846× | /-lowering-/.f64 |
| 1812× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 5504 |
| 1 | 1370 | 4713 |
| 2 | 5881 | 4506 |
| 0 | 8594 | 4506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 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 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 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))) |
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)) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U J)) |
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J))))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/128 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/1024 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(*.f64 U (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) U)) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (-.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 J (*.f64 J (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))))) J) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U (*.f64 U (*.f64 K K)))) (*.f64 J J)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
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(* -1 U) |
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U |
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(* -2 J) |
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(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 #s(literal 1/16 binary64) (*.f64 U (/.f64 (*.f64 K K) J)))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (*.f64 (/.f64 U J) #s(literal 5/768 binary64)))) (/.f64 (*.f64 U #s(literal 1/16 binary64)) J)))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 K (*.f64 K (+.f64 (/.f64 (*.f64 U #s(literal 1/16 binary64)) J) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 U #s(literal -5/384 binary64)) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 U J) #s(literal 7/23040 binary64))))) (*.f64 K K))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) |
Compiled 22722 to 2229 computations (90.2% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 751 | 11 | 762 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 752 | 12 | 764 |
| Status | Accuracy | Program |
|---|---|---|
| 43.5% | (-.f64 #s(literal 0 binary64) U) | |
| 46.6% | (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) | |
| 49.6% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 #s(literal 4 binary64) J) J))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) | |
| 32.7% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) J) J) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) | |
| ▶ | 49.9% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| 70.4% | (*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64))) | |
| ▶ | 85.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | 85.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ▶ | 68.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
| 33.6% | (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) | |
| ▶ | 46.5% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
| ▶ | 15.0% | U |
Compiled 586 to 365 computations (37.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J)) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) |
| ✓ | 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)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
| ✓ | cost-diff | 0 | (*.f64 J #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| 3850× | *-lowering-*.f32 |
| 3850× | *-lowering-*.f64 |
| 3216× | /-lowering-/.f32 |
| 3216× | /-lowering-/.f64 |
| 1340× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 259 |
| 1 | 111 | 256 |
| 2 | 362 | 256 |
| 3 | 1341 | 256 |
| 4 | 4524 | 256 |
| 0 | 8079 | 256 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) |
(* -2 J) |
-2 |
J |
(/ 1 (/ 1 (cos (/ K 2)))) |
1 |
(/ 1 (cos (/ K 2))) |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/ U (* J 2)) |
U |
(* J 2) |
U |
(* (cos (* 1/2 K)) (* J -2)) |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
K |
(* J -2) |
J |
-2 |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))) |
(* (* -2 J) (cos (/ K 2))) |
(* -2 J) |
-2 |
J |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))) |
1 |
(* 1/2 (/ U J)) |
1/2 |
(/ U J) |
U |
(* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) |
(/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) |
(- 0 (* (* 4 J) J)) |
0 |
(* (* 4 J) J) |
(* 4 J) |
4 |
J |
(+ 0 (* 2 J)) |
(* 2 J) |
2 |
(cos (/ K 2)) |
(/ K 2) |
K |
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) |
1 |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/ U (* J 2)) |
U |
(* J 2) |
| Outputs |
|---|
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(* (* -2 J) (/ 1 (/ 1 (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 |
(/ 1 (/ 1 (cos (/ K 2)))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ 1 (cos (/ K 2))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(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 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) |
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/ U (* J 2)) |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
U |
(* J 2) |
(*.f64 J #s(literal 2 binary64)) |
U |
(* (cos (* 1/2 K)) (* J -2)) |
(*.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 |
(* J -2) |
(*.f64 #s(literal -2 binary64) J) |
J |
-2 |
#s(literal -2 binary64) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(* (* -2 J) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
-2 |
#s(literal -2 binary64) |
J |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
2 |
#s(literal 2 binary64) |
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))) |
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) |
1 |
#s(literal 1 binary64) |
(* 1/2 (/ U J)) |
(*.f64 U (/.f64 #s(literal 1/2 binary64) J)) |
1/2 |
#s(literal 1/2 binary64) |
(/ U J) |
(/.f64 U J) |
U |
(* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) |
(*.f64 #s(literal -2 binary64) J) |
(- 0 (* (* 4 J) J)) |
(*.f64 J (*.f64 J #s(literal -4 binary64))) |
0 |
#s(literal 0 binary64) |
(* (* 4 J) J) |
(*.f64 J (*.f64 J #s(literal 4 binary64))) |
(* 4 J) |
(*.f64 J #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
J |
(+ 0 (* 2 J)) |
(*.f64 J #s(literal 2 binary64)) |
(* 2 J) |
(*.f64 J #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) |
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/ U (* J 2)) |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
U |
(* J 2) |
(*.f64 J #s(literal 2 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 85.6% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 56.0% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) |
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 85.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
| ✓ | accuracy | 100.0% | (*.f64 J #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | 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 J #s(literal -2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| ✓ | accuracy | 85.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| 169.0ms | 256× | 0 | valid |
Compiled 309 to 38 computations (87.7% saved)
ival-mult: 36.0ms (41.1% of total)compiled-spec: 16.0ms (18.3% of total)ival-div: 14.0ms (16% of total)ival-cos: 11.0ms (12.6% of total)ival-add: 4.0ms (4.6% of total)ival-sqrt: 4.0ms (4.6% of total)ival-sub: 1.0ms (1.1% of total)const: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ 1 (cos (/ K 2))))> |
#<alt (* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))> |
#<alt (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))> |
#<alt (* -2 J)> |
#<alt (* (cos (* 1/2 K)) (* J -2))> |
#<alt (cos (* 1/2 K))> |
#<alt (* 1/2 K)> |
#<alt (* J -2)> |
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))> |
#<alt (* (* -2 J) (cos (/ K 2)))> |
#<alt (cos (/ K 2))> |
#<alt (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J)))> |
#<alt (- 0 (* (* 4 J) J))> |
#<alt (+ 0 (* 2 J))> |
#<alt (* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))> |
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2)))> |
| Outputs |
|---|
#<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 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 (* -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 (* -1 (* U (cos (* 1/2 K))))> |
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))> |
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))> |
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))> |
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))> |
#<alt (* -1 (* U (cos (* 1/2 K))))> |
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))> |
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))> |
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))> |
#<alt (* U (cos (* 1/2 K)))> |
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))> |
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))> |
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))> |
#<alt (* -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> |
#<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 (* -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 (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<alt (* 2 J)> |
#<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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))> |
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))> |
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U 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))))> |
#<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))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | U | @ | 0 | (* 1/2 (/ U J)) |
| 2.0ms | U | @ | inf | (* 1/2 (/ U J)) |
| 2.0ms | J | @ | inf | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))) |
| 1.0ms | K | @ | inf | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))) |
| 1.0ms | J | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))) |
| 1× | batch-egg-rewrite |
| 3700× | /-lowering-/.f32 |
| 3700× | /-lowering-/.f64 |
| 3280× | *-lowering-*.f32 |
| 3280× | *-lowering-*.f64 |
| 1568× | pow-lowering-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 138 |
| 1 | 216 | 136 |
| 2 | 2066 | 136 |
| 0 | 8665 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 1 (cos (/ K 2)))) |
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) |
(* -2 J) |
(* (cos (* 1/2 K)) (* J -2)) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(* J -2) |
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))) |
(* (* -2 J) (cos (/ K 2))) |
(cos (/ K 2)) |
(/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) |
(- 0 (* (* 4 J) J)) |
(+ 0 (* 2 J)) |
(* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) |
(/ (/ U (* J 2)) (cos (/ K 2))) |
(* 1/2 (/ U J)) |
(* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) |
| Outputs |
|---|
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) (*.f64 #s(literal 2 binary64) J)) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) J)) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) J)) |
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
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(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal 2 binary64) J)) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (neg.f64 (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) J)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) #s(literal 2 binary64)) J) |
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))))) (neg.f64 (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(*.f64 J (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) J) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) J) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal -2 binary64) J)) |
| 1× | egg-herbie |
| 6318× | *-lowering-*.f32 |
| 6318× | *-lowering-*.f64 |
| 1778× | +-lowering-+.f64 |
| 1778× | +-lowering-+.f32 |
| 1598× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 5830 |
| 1 | 1374 | 5184 |
| 2 | 5725 | 5038 |
| 0 | 8206 | 5038 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 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)))) |
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (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)))))))) |
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
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(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
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(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))) |
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(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U J)) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(+ (* -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)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* -1 U) |
(-.f64 #s(literal 0 binary64) U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) U) 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) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) (*.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) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U) (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))))) U) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.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 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) |
(* 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 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.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 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 J)) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (neg.f64 J)) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))))) (neg.f64 J)) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #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) (+.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) J)))))) |
(+ (* -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 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))) (*.f64 (*.f64 K K) #s(literal -2 binary64))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) #s(literal -1/16 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)))))))))))))))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 K K) (+.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) #s(literal -1/16 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))) (*.f64 K (*.f64 K (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 #s(literal -1/16 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -1/46080 binary64) J)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal 1/12288 binary64) (*.f64 U U)) J) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64)))) (*.f64 (/.f64 #s(literal -1/32 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 U U) (*.f64 J J))))))))))))) (*.f64 K K)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
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U |
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1 |
#s(literal 1 binary64) |
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(cos (* 1/2 K)) |
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(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
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(cos (* 1/2 K)) |
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(cos (* 1/2 K)) |
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(cos (* 1/2 K)) |
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(cos (* 1/2 K)) |
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(cos (* 1/2 K)) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))))) |
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U)) (*.f64 J J))))) |
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))) |
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(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -1 (* U (cos (* 1/2 K)))) |
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(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))) |
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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)))))) |
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(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
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(* U (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) |
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(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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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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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
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(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
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(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -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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(* -4 (pow J 2)) |
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(* -4 (pow J 2)) |
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(* -4 (pow J 2)) |
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(* -4 (pow J 2)) |
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(* -4 (pow J 2)) |
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(* -4 (pow J 2)) |
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(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) |
(+ (* -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)))))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (/.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J J)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 J (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))) |
(* -1 U) |
(-.f64 #s(literal 0 binary64) U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(*.f64 U (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))))) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(*.f64 U (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))))) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
(*.f64 U (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)))) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(*.f64 U (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K (*.f64 K U))) J)) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 U J) #s(literal 1/16 binary64)) (*.f64 (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 5/768 binary64))))))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 U J) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 K K) #s(literal -1/2 binary64)) (+.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 U J) #s(literal 7/23040 binary64))))))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* 1/2 (/ U J)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (*.f64 J #s(literal -1/192 binary64)))) (*.f64 J #s(literal 1/4 binary64))))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 (*.f64 K K) (*.f64 J #s(literal 1/23040 binary64)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) |
Compiled 44057 to 2965 computations (93.3% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1648 | 13 | 1661 |
| Fresh | 5 | 1 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1655 | 18 | 1673 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 25.5% | (/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
| 68.1% | (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| ▶ | 85.3% | (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| 46.5% | (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| ▶ | 46.4% | (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| 46.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) | |
| 43.5% | (-.f64 #s(literal 0 binary64) U) | |
| 46.6% | (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) | |
| 26.2% | (+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) | |
| 25.5% | (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) | |
| 68.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) | |
| ✓ | 85.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | 68.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
| 56.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) | |
| ▶ | 46.4% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
| ✓ | 46.5% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
| ▶ | 28.5% | (*.f64 #s(literal -2 binary64) J) |
| ✓ | 15.0% | U |
Compiled 506 to 370 computations (26.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) |
| ✓ | 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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| ✓ | cost-diff | 0 | (/.f64 K #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) |
| 7318× | *-lowering-*.f32 |
| 7318× | *-lowering-*.f64 |
| 3226× | associate-/r/ |
| 2198× | /-lowering-/.f32 |
| 2198× | /-lowering-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 192 |
| 1 | 75 | 192 |
| 2 | 206 | 189 |
| 3 | 657 | 189 |
| 4 | 2370 | 189 |
| 5 | 3604 | 189 |
| 6 | 4094 | 189 |
| 7 | 4220 | 189 |
| 8 | 4299 | 189 |
| 9 | 4384 | 189 |
| 10 | 4489 | 189 |
| 11 | 5242 | 189 |
| 12 | 6429 | 189 |
| 13 | 6843 | 189 |
| 14 | 7273 | 189 |
| 15 | 7706 | 189 |
| 0 | 8023 | 189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J))) |
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) |
1 |
(/ (/ U (* 2 J)) (cos (/ K 2))) |
(/ U (* 2 J)) |
U |
(* 2 J) |
J |
(/ 1 (* -2 J)) |
(* -2 J) |
-2 |
(* -2 J) |
-2 |
J |
(/ (cos (/ K 2)) (/ 1 (* -2 J))) |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(/ 1 (* -2 J)) |
1 |
(* -2 J) |
-2 |
J |
(* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J)))) |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
K |
(/ 1 (/ 1 (* -2 J))) |
1 |
(/ 1 (* -2 J)) |
(* -2 J) |
-2 |
J |
(/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2) |
(/ (* (cos (/ K 2)) (* -4 (* J J))) J) |
(* (cos (/ K 2)) (* -4 (* J J))) |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
(* -4 (* J J)) |
-4 |
(* J J) |
J |
| Outputs |
|---|
(/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) |
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(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 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) |
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ (/ U (* 2 J)) (cos (/ K 2))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/ U (* 2 J)) |
(/.f64 U (*.f64 #s(literal 2 binary64) J)) |
U |
(* 2 J) |
(*.f64 #s(literal 2 binary64) J) |
J |
(/ 1 (* -2 J)) |
(/.f64 #s(literal -1/2 binary64) J) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
J |
(/ (cos (/ K 2)) (/ 1 (* -2 J))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 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) |
(/ 1 (* -2 J)) |
(/.f64 #s(literal -1/2 binary64) J) |
1 |
#s(literal 1 binary64) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
J |
(* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J)))) |
(/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #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 (/ 1 (* -2 J))) |
(*.f64 J #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1 (* -2 J)) |
(/.f64 #s(literal -1/2 binary64) J) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
J |
(/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) |
(/ (* (cos (/ K 2)) (* -4 (* J J))) J) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -4 binary64))) |
(* (cos (/ K 2)) (* -4 (* J J))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J 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) |
(* -4 (* J J)) |
(*.f64 #s(literal -4 binary64) (*.f64 J J)) |
-4 |
#s(literal -4 binary64) |
(* J J) |
(*.f64 J J) |
J |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -4 binary64) (*.f64 J J)) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) |
| ✓ | accuracy | 55.9% | (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) |
| ✓ | 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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) J) |
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) J) |
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 85.4% | (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
| 140.0ms | 256× | 0 | valid |
Compiled 224 to 29 computations (87.1% saved)
ival-mult: 22.0ms (35.7% of total)ival-div: 17.0ms (27.6% of total)ival-cos: 11.0ms (17.8% of total)compiled-spec: 7.0ms (11.3% of total)ival-sqrt: 2.0ms (3.2% of total)ival-add: 1.0ms (1.6% of total)const: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (* -2 J))> |
#<alt (/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J)))> |
#<alt (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))> |
#<alt (cos (/ K 2))> |
#<alt (* -2 J)> |
#<alt (/ (cos (/ K 2)) (/ 1 (* -2 J)))> |
#<alt (/ K 2)> |
#<alt (/ 1 (/ 1 (* -2 J)))> |
#<alt (* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J))))> |
#<alt (cos (* 1/2 K))> |
#<alt (/ (* (cos (/ K 2)) (* -4 (* J J))) J)> |
#<alt (/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2)> |
#<alt (* (cos (/ K 2)) (* -4 (* J J)))> |
#<alt (/ (/ U (* 2 J)) (cos (/ K 2)))> |
#<alt (* -4 (* J J))> |
| Outputs |
|---|
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<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 (* -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 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -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)))))))))))))))))> |
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -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 K 2) (+ (* -1/16 (* (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)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -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))))))))))))))))))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))> |
#<alt (cos (* 1/2 K))> |
#<alt (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))> |
#<alt (+ (cos (* 1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))> |
#<alt (+ (cos (* 1/2 K)) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))> |
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))> |
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))> |
#<alt (* -1/2 (/ U J))> |
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))> |
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))> |
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (/ (+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U)))) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U)))) J)> |
#<alt (cos (* 1/2 K))> |
#<alt (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))> |
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))> |
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))> |
#<alt (cos (* 1/2 K))> |
#<alt (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))> |
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))> |
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))> |
#<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 (* -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 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 (* 1/2 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 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 (* -4 J)> |
#<alt (+ (* -4 J) (* 1/2 (* J (pow K 2))))> |
#<alt (+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J))))> |
#<alt (+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2))))))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* 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 (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 (* -4 (pow J 2))> |
#<alt (+ (* -4 (pow J 2)) (* 1/2 (* (pow J 2) (pow K 2))))> |
#<alt (+ (* -4 (pow J 2)) (* (pow K 2) (+ (* -1/96 (* (pow J 2) (pow K 2))) (* 1/2 (pow J 2)))))> |
#<alt (+ (* -4 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/96 (pow J 2)) (* 1/11520 (* (pow J 2) (pow K 2))))))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))> |
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))> |
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | K | @ | 0 | (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) |
| 0.0ms | K | @ | inf | (* (cos (/ K 2)) (* -4 (* J J))) |
| 0.0ms | K | @ | -inf | (* (cos (/ K 2)) (* -4 (* J J))) |
| 0.0ms | U | @ | 0 | (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) |
| 0.0ms | U | @ | inf | (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) |
| 1× | batch-egg-rewrite |
| 4986× | *-lowering-*.f32 |
| 4986× | *-lowering-*.f64 |
| 3744× | /-lowering-/.f32 |
| 3744× | /-lowering-/.f64 |
| 1376× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 116 |
| 1 | 153 | 116 |
| 2 | 1134 | 113 |
| 0 | 9075 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* -2 J)) |
(/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J))) |
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) |
(cos (/ K 2)) |
(* -2 J) |
(/ (cos (/ K 2)) (/ 1 (* -2 J))) |
(/ K 2) |
(/ 1 (/ 1 (* -2 J))) |
(* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J)))) |
(cos (* 1/2 K)) |
(/ (* (cos (/ K 2)) (* -4 (* J J))) J) |
(/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2) |
(* (cos (/ K 2)) (* -4 (* J J))) |
(/ (/ U (* 2 J)) (cos (/ K 2))) |
(* -4 (* J J)) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) J))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) J)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) J)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) J)) |
(/.f64 #s(literal 1 binary64) (/.f64 J #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) J))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) J)) |
(/.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -2 binary64)) |
(/.f64 #s(literal -1/2 binary64) J) |
(/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 2 binary64)) |
(pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64)) |
(pow.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))) |
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal -1/2 binary64) J)) |
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))) |
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) J)) |
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 J #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal -1/2 binary64) J))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal 1/2 binary64) J))) |
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J #s(literal 2 binary64))) |
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) J) #s(literal -2 binary64)) |
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) |
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))) |
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal 1 binary64) J))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1/2 binary64)) J) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) |
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal 1 binary64) J)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1 binary64) J)) #s(literal -2 binary64)) |
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) J)) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (-.f64 #s(literal 0 binary64) J)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 J #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1/2 binary64))) J) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) J)) #s(literal -2 binary64)) |
(*.f64 (*.f64 (/.f64 J #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1 binary64))) (*.f64 J #s(literal 2 binary64))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1/2 binary64))) J) |
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal -2 binary64)) |
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(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (neg.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)))) |
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 J J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -4 binary64))) |
(*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 J #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) |
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(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) (*.f64 J #s(literal 2 binary64))) |
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (*.f64 J #s(literal -4 binary64))) |
(*.f64 (neg.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 J J))) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J)) #s(literal -4 binary64)) |
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -4 binary64))) J) |
(*.f64 (*.f64 (*.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -4 binary64)) |
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(*.f64 (*.f64 (/.f64 J #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 J #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) J) |
(*.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) J)) |
(*.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64)) (*.f64 J #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (-.f64 #s(literal 0 binary64) J)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))) |
(neg.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))) |
(neg.f64 (*.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (/.f64 U #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 J (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) |
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 U (/.f64 J #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J (/.f64 U #s(literal 2 binary64)))) |
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 U #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))) |
(/.f64 (/.f64 U #s(literal -2 binary64)) (*.f64 (*.f64 J #s(literal -1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 J #s(literal -1/2 binary64)) U)) |
(/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) |
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) |
(/.f64 (neg.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) J)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J #s(literal 2 binary64))) |
(pow.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) |
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J U))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))) |
(*.f64 (/.f64 U (/.f64 J #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U))) |
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)) |
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))) |
(*.f64 (/.f64 U #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J))) |
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 U (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64))) |
(*.f64 (/.f64 U J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) U)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (pow.f64 U #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 U (/.f64 J #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (/.f64 U (-.f64 #s(literal 0 binary64) J)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) (/.f64 U #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 U J)) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) U)) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 J (*.f64 J #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 J J)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(*.f64 (*.f64 J #s(literal -4 binary64)) J) |
| 1× | egg-herbie |
| 6436× | *-lowering-*.f32 |
| 6436× | *-lowering-*.f64 |
| 1990× | +-lowering-+.f64 |
| 1990× | +-lowering-+.f32 |
| 1902× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 416 | 4746 |
| 1 | 1457 | 4207 |
| 2 | 6048 | 4080 |
| 0 | 9036 | 4080 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(* -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)))))) |
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(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -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 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -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 K 2) (+ (* -1/16 (* (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)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -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)))))))))))))))))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))) |
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))) |
(* 1/2 (/ U J)) |
(* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U)))) J) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* 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)))) |
(* 1/2 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) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* 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)) |
(* -4 J) |
(+ (* -4 J) (* 1/2 (* J (pow K 2)))) |
(+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J)))) |
(+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2)))))))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* 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 (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)))) |
(* -4 (pow J 2)) |
(+ (* -4 (pow J 2)) (* 1/2 (* (pow J 2) (pow K 2)))) |
(+ (* -4 (pow J 2)) (* (pow K 2) (+ (* -1/96 (* (pow J 2) (pow K 2))) (* 1/2 (pow J 2))))) |
(+ (* -4 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/96 (pow J 2)) (* 1/11520 (* (pow J 2) (pow K 2)))))))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* -4 (* (pow J 2) (cos (* 1/2 K)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U J)) |
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J))))) |
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
| Outputs |
|---|
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))))))) |
(+ (* -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 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (*.f64 J #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))))) (*.f64 #s(literal -2 binary64) (*.f64 K K))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) #s(literal -1/16 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)))))))))))))))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 K K) (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) #s(literal -1/16 binary64))) (*.f64 (*.f64 K K) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (*.f64 J #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))))) (*.f64 K (*.f64 K (+.f64 (*.f64 J (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) #s(literal -1/16 binary64)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -1/46080 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64)) (*.f64 (*.f64 J #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64)))) (*.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J J)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) (+.f64 (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/512 binary64)) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 J (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) |
(* -1 U) |
(-.f64 #s(literal 0 binary64) U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(*.f64 U (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))))) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(*.f64 U (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))))) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
(*.f64 U (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))))) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))))) |
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1 |
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(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
(* -4 (pow J 2)) |
(*.f64 (*.f64 J J) #s(literal -4 binary64)) |
Compiled 30756 to 2695 computations (91.2% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1744 | 16 | 1760 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1751 | 27 | 1778 |
| Status | Accuracy | Program |
|---|---|---|
| 15.0% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) | |
| 16.4% | (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64)) | |
| ✓ | 25.5% | (/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
| 31.6% | (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) | |
| 46.5% | (/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| 26.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) | |
| ▶ | 68.1% | (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| ▶ | 25.5% | (/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
| 68.0% | (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) | |
| 46.4% | (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) | |
| 46.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) | |
| 46.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| ▶ | 16.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
| 28.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) | |
| ▶ | 43.5% | (-.f64 #s(literal 0 binary64) U) |
| 46.6% | (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| 26.2% | (+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) | |
| 9.4% | (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64))) | |
| 16.4% | (*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J)) | |
| 68.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) | |
| ✓ | 85.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| ✓ | 68.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
| 56.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) | |
| ▶ | 46.4% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
| ✓ | 46.5% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
| ✓ | 28.5% | (*.f64 #s(literal -2 binary64) J) |
| ✓ | 15.0% | U |
Compiled 731 to 539 computations (26.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 J #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 J (*.f64 J #s(literal -4 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #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 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
| ✓ | cost-diff | 0 | (*.f64 J (*.f64 J #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 J #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) U) |
| ✓ | cost-diff | 0 | (/.f64 U (*.f64 #s(literal 2 binary64) J)) |
| ✓ | cost-diff | 0 | (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) |
| ✓ | cost-diff | 0 | (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| 5184× | *-lowering-*.f32 |
| 5184× | *-lowering-*.f64 |
| 2712× | /-lowering-/.f32 |
| 2712× | /-lowering-/.f64 |
| 2244× | associate-/r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 178 |
| 1 | 89 | 161 |
| 2 | 255 | 156 |
| 3 | 913 | 153 |
| 4 | 3823 | 153 |
| 5 | 3905 | 153 |
| 6 | 4162 | 153 |
| 7 | 4242 | 153 |
| 8 | 4362 | 153 |
| 9 | 4520 | 153 |
| 10 | 6986 | 153 |
| 11 | 7930 | 153 |
| 0 | 8022 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2)))) |
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) |
(sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) |
1 |
(/ U (* 2 J)) |
U |
(* 2 J) |
2 |
J |
(* -2 J) |
-2 |
(/ 1 (cos (/ K 2))) |
(cos (/ K 2)) |
(/ K 2) |
K |
(- 0 U) |
0 |
U |
(/ 1 (/ (* J 2) (* J (* J -4)))) |
1 |
(/ (* J 2) (* J (* J -4))) |
(* J 2) |
J |
2 |
(* J (* J -4)) |
(* J -4) |
-4 |
(* (cos (* 1/2 K)) (/ 1 (/ -1/2 J))) |
(cos (* 1/2 K)) |
(* 1/2 K) |
1/2 |
K |
(/ 1 (/ -1/2 J)) |
1 |
(/ -1/2 J) |
-1/2 |
J |
(/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2) |
(* (* J (* J -4)) (/ (cos (/ K 2)) J)) |
(* J (* J -4)) |
J |
(* J -4) |
-4 |
(/ (cos (/ K 2)) J) |
(cos (/ K 2)) |
(/ K 2) |
K |
2 |
| Outputs |
|---|
(/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2)))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J)) |
(sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) |
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) |
1 |
#s(literal 1 binary64) |
(/ U (* 2 J)) |
(/.f64 U (*.f64 #s(literal 2 binary64) J)) |
U |
(* 2 J) |
(*.f64 #s(literal 2 binary64) J) |
2 |
#s(literal 2 binary64) |
J |
(* -2 J) |
(/.f64 J #s(literal -1/2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ 1 (cos (/ K 2))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cos (/ K 2)) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/ K 2) |
(/.f64 K #s(literal 2 binary64)) |
K |
(- 0 U) |
(-.f64 #s(literal 0 binary64) U) |
0 |
#s(literal 0 binary64) |
U |
(/ 1 (/ (* J 2) (* J (* J -4)))) |
(/.f64 J #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (* J 2) (* J (* J -4))) |
(/.f64 #s(literal -1/2 binary64) J) |
(* J 2) |
(*.f64 #s(literal 2 binary64) J) |
J |
2 |
#s(literal 2 binary64) |
(* J (* J -4)) |
(*.f64 J (*.f64 J #s(literal -4 binary64))) |
(* J -4) |
(*.f64 J #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(* (cos (* 1/2 K)) (/ 1 (/ -1/2 J))) |
(/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #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 (/ -1/2 J)) |
(/.f64 J #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(/ -1/2 J) |
(/.f64 #s(literal -1/2 binary64) J) |
-1/2 |
#s(literal -1/2 binary64) |
J |
(/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) |
(* (* J (* J -4)) (/ (cos (/ K 2)) J)) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) J)) |
(* J (* J -4)) |
(*.f64 J (*.f64 J #s(literal -4 binary64))) |
J |
(* J -4) |
(*.f64 J #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(/ (cos (/ K 2)) J) |
(/.f64 (cos.f64 (/.f64 K #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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 J #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) |
| ✓ | accuracy | 55.8% | (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) K) |
| ✓ | 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 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
| ✓ | accuracy | 100.0% | (*.f64 J #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 J #s(literal -4 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
| ✓ | accuracy | 55.8% | (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) U) |
| ✓ | accuracy | 100.0% | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| ✓ | accuracy | 85.6% | (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) |
| 188.0ms | 256× | 0 | valid |
Compiled 191 to 34 computations (82.2% saved)
ival-mult: 33.0ms (38.1% of total)ival-div: 24.0ms (27.7% of total)compiled-spec: 12.0ms (13.8% of total)ival-cos: 11.0ms (12.7% of total)ival-sqrt: 2.0ms (2.3% of total)ival-add: 1.0ms (1.2% of total)ival-sub: 1.0ms (1.2% of total)const: 1.0ms (1.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2))))> |
#<alt (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))> |
#<alt (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J)))))> |
#<alt (/ U (* 2 J))> |
#<alt (- 0 U)> |
#<alt (/ (* J 2) (* J (* J -4)))> |
#<alt (/ 1 (/ (* J 2) (* J (* J -4))))> |
#<alt (* J 2)> |
#<alt (* J (* J -4))> |
#<alt (/ 1 (/ -1/2 J))> |
#<alt (* (cos (* 1/2 K)) (/ 1 (/ -1/2 J)))> |
#<alt (cos (* 1/2 K))> |
#<alt (* 1/2 K)> |
#<alt (* (* J (* J -4)) (/ (cos (/ K 2)) J))> |
#<alt (/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2)> |
#<alt (* J -4)> |
#<alt (/ 1 (cos (/ K 2)))> |
#<alt (cos (/ K 2))> |
#<alt (/ (cos (/ K 2)) J)> |
| Outputs |
|---|
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))> |
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))> |
#<alt (* -1 (* U (cos (* 1/2 K))))> |
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))> |
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))> |
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))> |
#<alt (* U (cos (* 1/2 K)))> |
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))> |
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))> |
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))> |
#<alt (* -1 (* U (cos (* 1/2 K))))> |
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))> |
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))> |
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))> |
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))> |
#<alt (* -2 (* J (cos (* 1/2 K))))> |
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))> |
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))> |
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))> |
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -2 J)> |
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))> |
#<alt (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))> |
#<alt (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))> |
#<alt (* -1 U)> |
#<alt (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))> |
#<alt (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))> |
#<alt (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))> |
#<alt U> |
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))> |
#<alt (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))> |
#<alt (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))> |
#<alt (* -1 U)> |
#<alt (+ (* -2 (/ (pow J 2) U)) (* -1 U))> |
#<alt (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))> |
#<alt (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))> |
#<alt (* -2 J)> |
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))> |
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))> |
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))> |
#<alt (* -2 J)> |
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))> |
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))> |
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))> |
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))> |
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))> |
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))> |
#<alt (* -1/2 (/ U J))> |
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))> |
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))> |
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)> |
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))> |
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<alt (* 1/2 (/ U J))> |
#<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 (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 J)> |
#<alt (/ -1/2 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 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 J)> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -4 (pow J 2))> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<alt (* -2 J)> |
#<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 (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 J)> |
#<alt (+ (* -4 J) (* 1/2 (* J (pow K 2))))> |
#<alt (+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J))))> |
#<alt (+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2))))))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* J (cos (* 1/2 K))))> |
#<alt (* -4 (* 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)> |
#<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 (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt (* -4 J)> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (pow K 2)))> |
#<alt (+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))> |
#<alt (+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))> |
#<alt (/ 1 (cos (* 1/2 K)))> |
#<alt (/ 1 (cos (* 1/2 K)))> |
#<alt (/ 1 (cos (* 1/2 K)))> |
#<alt (/ 1 (cos (* 1/2 K)))> |
#<alt (/ 1 (cos (* 1/2 K)))> |
#<alt (/ 1 (cos (* 1/2 K)))> |
#<alt (/ 1 (cos (* 1/2 K)))> |
#<alt (/ 1 (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 J)> |
#<alt (+ (* -1/8 (/ (pow K 2) J)) (/ 1 J))> |
#<alt (+ (* (pow K 2) (- (* 1/384 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))) (/ 1 J))> |
#<alt (+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/46080 (/ (pow K 2) J)) (* 1/384 (/ 1 J)))) (* 1/8 (/ 1 J)))) (/ 1 J))> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
#<alt (/ (cos (* 1/2 K)) J)> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | J | @ | 0 | (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) |
| 0.0ms | K | @ | inf | (/ 1 (cos (/ K 2))) |
| 0.0ms | U | @ | 0 | (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) |
| 0.0ms | K | @ | -inf | (/ 1 (cos (/ K 2))) |
| 0.0ms | U | @ | inf | (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) |
| 1× | batch-egg-rewrite |
| 3910× | *-lowering-*.f32 |
| 3910× | *-lowering-*.f64 |
| 3874× | /-lowering-/.f32 |
| 3874× | /-lowering-/.f64 |
| 952× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 132 |
| 1 | 187 | 109 |
| 2 | 1305 | 109 |
| 0 | 8643 | 109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2)))) |
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) |
(sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) |
(/ U (* 2 J)) |
(- 0 U) |
(/ (* J 2) (* J (* J -4))) |
(/ 1 (/ (* J 2) (* J (* J -4)))) |
(* J 2) |
(* J (* J -4)) |
(/ 1 (/ -1/2 J)) |
(* (cos (* 1/2 K)) (/ 1 (/ -1/2 J))) |
(cos (* 1/2 K)) |
(* 1/2 K) |
(* (* J (* J -4)) (/ (cos (/ K 2)) J)) |
(/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2) |
(* J -4) |
(/ 1 (cos (/ K 2))) |
(cos (/ K 2)) |
(/ (cos (/ K 2)) J) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
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(*.f64 #s(literal 1 binary64) (*.f64 J #s(literal -4 binary64))) |
(*.f64 J #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) J) |
(*.f64 (*.f64 J #s(literal -4 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (/.f64 K #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) J)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))) |
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))) |
(/.f64 #s(literal 1 binary64) (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(pow.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) J) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 5150× | *-lowering-*.f32 |
| 5150× | *-lowering-*.f64 |
| 4588× | +-lowering-+.f64 |
| 4588× | +-lowering-+.f32 |
| 1456× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 3257 |
| 1 | 1245 | 2962 |
| 2 | 4443 | 2891 |
| 0 | 8166 | 2891 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3)))))))) |
(* -1 (* U (cos (* 1/2 K)))) |
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))) |
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
(* U (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))) |
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))) |
(* -1 (* U (cos (* 1/2 K)))) |
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K))))) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3)))))) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -2 J) |
(+ (* -2 J) (* -1/4 (/ (pow U 2) J))) |
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J))))) |
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J))))) |
(* -1 U) |
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))) |
(* -1 U) |
(+ (* -2 (/ (pow J 2) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))) |
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))) |
(* -2 J) |
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) |
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2)) |
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2)) |
(* -2 J) |
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2)))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2)))))) |
(* 1/2 (/ U J)) |
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* 1/2 (/ U J)) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(/ -1/2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* 2 J) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -4 (pow J 2)) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -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) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 J) |
(+ (* -4 J) (* 1/2 (* J (pow K 2)))) |
(+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J)))) |
(+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2)))))))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* J (cos (* 1/2 K)))) |
(* -4 (* 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) |
(+ (* -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)))) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
(* -4 J) |
1 |
(+ 1 (* 1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2))))) |
(+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2))))))) |
(/ 1 (cos (* 1/2 K))) |
(/ 1 (cos (* 1/2 K))) |
(/ 1 (cos (* 1/2 K))) |
(/ 1 (cos (* 1/2 K))) |
(/ 1 (cos (* 1/2 K))) |
(/ 1 (cos (* 1/2 K))) |
(/ 1 (cos (* 1/2 K))) |
(/ 1 (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 J) |
(+ (* -1/8 (/ (pow K 2) J)) (/ 1 J)) |
(+ (* (pow K 2) (- (* 1/384 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))) (/ 1 J)) |
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/46080 (/ (pow K 2) J)) (* 1/384 (/ 1 J)))) (* 1/8 (/ 1 J)))) (/ 1 J)) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
(/ (cos (* 1/2 K)) J) |
| Outputs |
|---|
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/4 binary64)) J) (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 J J)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3)))))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/4 binary64)) J) (*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64)))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (/.f64 #s(literal 1/64 binary64) J))))))) |
(* -1 (* U (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U)) |
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))) |
(*.f64 U (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))) |
(*.f64 U (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(* 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))))))) |
(*.f64 U (+.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64))))))) |
(* U (cos (* 1/2 K))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 #s(literal 0 binary64) U)) |
(* -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))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (-.f64 #s(literal 0 binary64) U)) |
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))) |
(*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) U)) |
(* -1 (* U (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U)) |
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K))))) |
(-.f64 (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3)))))) |
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 2 binary64) U)) U))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) |
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3)))))))) |
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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) (cos (* 1/2 K))) (pow J 2))))) |
(*.f64 J (+.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))) |
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J)))))) |
(* 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))))))) |
(*.f64 J (+.f64 (+.f64 (+.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))) (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J))))) |
(* -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) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 J (+.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))) |
(*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J))))) (-.f64 #s(literal 0 binary64) J)) |
(* -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)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) J)) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 J (*.f64 K K)) (+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))) |
(+ (* -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)))))))))))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) (*.f64 (*.f64 K K) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 K (*.f64 K (*.f64 J (+.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) #s(literal 1/23040 binary64))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
(/ (cos (* 1/2 K)) J) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) |
Compiled 21460 to 2658 computations (87.6% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1339 | 12 | 1351 |
| Fresh | 8 | 8 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1350 | 28 | 1378 |
| Status | Accuracy | Program |
|---|---|---|
| 68.0% | (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| 15.0% | (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) | |
| ✓ | 25.5% | (/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
| 31.6% | (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) | |
| 46.5% | (/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| 46.5% | (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| 26.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) | |
| ✓ | 68.1% | (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| ✓ | 25.5% | (/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
| 46.4% | (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) | |
| 28.4% | (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) | |
| 9.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J))) | |
| 46.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | |
| 16.3% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J)) | |
| 46.4% | (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) | |
| 46.6% | (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| 9.4% | (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64))) | |
| 9.8% | (*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J))) | |
| 16.4% | (*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64)) | |
| 28.5% | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J) | |
| ✓ | 85.5% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
| 56.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) | |
| ✓ | 46.4% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
| ✓ | 46.5% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
| 26.2% | (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) | |
| ✓ | 28.5% | (*.f64 #s(literal -2 binary64) J) |
| 43.5% | (neg.f64 U) | |
| ✓ | 15.0% | U |
Compiled 1212 to 502 computations (58.6% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) J) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64)) |
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J) |
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J)) |
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J))) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 #s(literal 4 binary64) J) J))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) J) J) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 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:
| 19.0ms | K |
| 18.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 17.0ms | (/.f64 K #s(literal 2 binary64)) |
| 17.0ms | U |
| 15.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 2 | J |
| 85.5% | 1 | K |
| 91.4% | 2 | U |
| 99.8% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 85.5% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 85.5% | 1 | (/.f64 K #s(literal 2 binary64)) |
Compiled 52 to 37 computations (28.8% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) J) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64)) |
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J) |
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J)) |
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J))) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(neg.f64 U) |
1 calls:
| 15.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 2 | U |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) J) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64)) |
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J) |
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J)) |
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J))) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) |
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(neg.f64 U) |
5 calls:
| 38.0ms | U |
| 15.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 14.0ms | J |
| 14.0ms | (/.f64 K #s(literal 2 binary64)) |
| 13.0ms | K |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.6% | 4 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 68.1% | 1 | K |
| 68.1% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 78.2% | 2 | J |
| 79.6% | 2 | U |
Compiled 25 to 20 computations (20% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) J) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64)) |
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J) |
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J)) |
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J))) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) |
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) |
(neg.f64 U) |
2 calls:
| 12.0ms | U |
| 11.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.2% | 3 | J |
| 74.6% | 3 | U |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) J) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64)) |
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J) |
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J)) |
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J))) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) |
(neg.f64 U) |
5 calls:
| 12.0ms | K |
| 10.0ms | (/.f64 K #s(literal 2 binary64)) |
| 9.0ms | U |
| 8.0ms | J |
| 8.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 2 | J |
| 55.2% | 4 | K |
| 55.2% | 4 | (/.f64 K #s(literal 2 binary64)) |
| 58.5% | 3 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 69.5% | 2 | U |
Compiled 25 to 20 computations (20% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
(*.f64 #s(literal -2 binary64) J) |
(-.f64 #s(literal 0 binary64) U) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J)) |
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64)) |
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J) |
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J)) |
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) |
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J))) |
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal -2 binary64) J) |
(neg.f64 U) |
2 calls:
| 8.0ms | U |
| 6.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 2 | J |
| 56.4% | 2 | U |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
U |
(neg.f64 U) |
| Outputs |
|---|
(neg.f64 U) |
3 calls:
| 2.0ms | J |
| 2.0ms | K |
| 2.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 1 | K |
| 43.5% | 1 | J |
| 43.5% | 1 | U |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
U |
| Outputs |
|---|
U |
3 calls:
| 3.0ms | U |
| 1.0ms | J |
| 1.0ms | K |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.0% | 1 | J |
| 15.0% | 1 | U |
| 15.0% | 1 | K |
Compiled 12 to 9 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1035164461187643e+285 | 5.2825989023968475e+289 |
| 0.0ms | -inf | -5.9842708845749425e+298 |
Compiled 33 to 22 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 4.742830972250627e+109 | 1.739762738949016e+114 |
| 22.0ms | 128× | 0 | valid |
Compiled 281 to 190 computations (32.4% saved)
ival-mult: 4.0ms (33.2% of total)ival-cos: 3.0ms (24.9% of total)ival-div: 2.0ms (16.6% of total)ival-add: 1.0ms (8.3% of total)ival-sqrt: 1.0ms (8.3% of total)ival-pow: 1.0ms (8.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.742830972250627e+109 | 1.739762738949016e+114 |
| 19.0ms | 128× | 0 | valid |
Compiled 241 to 190 computations (21.2% saved)
ival-mult: 4.0ms (29.5% of total)ival-div: 3.0ms (22.1% of total)ival-cos: 3.0ms (22.1% of total)ival-add: 1.0ms (7.4% of total)ival-sqrt: 1.0ms (7.4% of total)ival-pow: 1.0ms (7.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.742830972250627e+109 | 1.739762738949016e+114 |
| 126.0ms | 1.062021115621949e-152 | 3.537233699335365e-148 |
| 140.0ms | 256× | 0 | valid |
Compiled 417 to 334 computations (19.9% saved)
ival-mult: 112.0ms (86.3% of total)ival-div: 6.0ms (4.6% of total)ival-cos: 6.0ms (4.6% of total)ival-pow: 3.0ms (2.3% of total)ival-sqrt: 2.0ms (1.5% of total)ival-add: 1.0ms (0.8% of total)const: 1.0ms (0.8% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.8911898566337065e+28 | 2.203281965359898e+29 |
| 13.0ms | 96× | 0 | valid |
Compiled 141 to 112 computations (20.6% saved)
ival-mult: 3.0ms (33.3% of total)ival-cos: 2.0ms (22.2% of total)ival-div: 1.0ms (11.1% of total)ival-sqrt: 1.0ms (11.1% of total)ival-pow: 1.0ms (11.1% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.964197933560293e-155 | 1.062021115621949e-152 |
| 15.0ms | 112× | 0 | valid |
Compiled 124 to 99 computations (20.2% saved)
ival-mult: 4.0ms (38.3% of total)ival-div: 2.0ms (19.1% of total)ival-cos: 2.0ms (19.1% of total)ival-add: 1.0ms (9.6% of total)ival-sqrt: 1.0ms (9.6% of total)ival-pow: 1.0ms (9.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 185 |
| 1 | 75 | 185 |
| 2 | 77 | 185 |
| 3 | 78 | 185 |
| 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 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 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 U #s(literal 1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 U)) |
(if (<=.f64 U #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U)) |
(if (<=.f64 U #s(literal 1259695862472095/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 U #s(literal 229999999999999996743507194830461631917616861549277362946392761957802905837360666719843517182411152892048766402560 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U))) |
(if (<=.f64 U #s(literal 35999999999999999378840354816 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (neg.f64 U)) |
(if (<=.f64 U #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) |
(neg.f64 U) |
U |
| Outputs |
|---|
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 0 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) U)) |
(if (<=.f64 U #s(literal 1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 U)) |
(if (<=.f64 U #s(literal 1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) U)) |
(if (<=.f64 U #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U)) |
(if (<=.f64 U #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (-.f64 #s(literal 0 binary64) U)) |
(if (<=.f64 U #s(literal 1259695862472095/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 U #s(literal 229999999999999996743507194830461631917616861549277362946392761957802905837360666719843517182411152892048766402560 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U))) |
(if (<=.f64 U #s(literal 1259695862472095/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (if (<=.f64 U #s(literal 229999999999999996743507194830461631917616861549277362946392761957802905837360666719843517182411152892048766402560 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (-.f64 #s(literal 0 binary64) U))) |
(if (<=.f64 U #s(literal 35999999999999999378840354816 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (neg.f64 U)) |
(if (<=.f64 U #s(literal 35999999999999999378840354816 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) U)) |
(if (<=.f64 U #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) |
(if (<=.f64 U #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) U)) |
(neg.f64 U) |
(-.f64 #s(literal 0 binary64) U) |
U |
| 6680× | *-lowering-*.f32 |
| 6680× | *-lowering-*.f64 |
| 6318× | *-lowering-*.f32 |
| 6318× | *-lowering-*.f64 |
| 3910× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 5504 |
| 1 | 1370 | 4713 |
| 2 | 5881 | 4506 |
| 0 | 8594 | 4506 |
| 0 | 390 | 5830 |
| 1 | 1374 | 5184 |
| 2 | 5725 | 5038 |
| 0 | 8206 | 5038 |
| 0 | 17 | 24 |
| 1 | 33 | 21 |
| 2 | 79 | 21 |
| 3 | 206 | 21 |
| 4 | 619 | 21 |
| 5 | 1133 | 21 |
| 6 | 1568 | 21 |
| 7 | 1630 | 21 |
| 8 | 1648 | 21 |
| 9 | 1666 | 21 |
| 10 | 1674 | 21 |
| 11 | 1676 | 21 |
| 12 | 1676 | 21 |
| 0 | 1676 | 21 |
| 0 | 36 | 132 |
| 1 | 187 | 109 |
| 2 | 1305 | 109 |
| 0 | 8643 | 109 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 443 to 243 computations (45.1% saved)
(abs K)
Compiled 2144 to 646 computations (69.9% saved)
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