Maksimov and Kolovsky, Equation (3)

Time bar (total: 11.7s)

analyze421.0ms (3.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 261.0ms
ival-mult: 107.0ms (41% of total)
ival-pow: 72.0ms (27.6% of total)
ival-div: 28.0ms (10.7% of total)
ival-sqrt: 22.0ms (8.4% of total)
ival-cos: 14.0ms (5.4% of total)
ival-add: 12.0ms (4.6% of total)
const: 5.0ms (1.9% of total)
backward-pass: 1.0ms (0.4% of total)

sample1.9s (16.4%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 365.0ms (36.5% of total)
ival-cos: 231.0ms (23.1% of total)
ival-div: 140.0ms (14% of total)
ival-pow: 110.0ms (11% of total)
ival-sqrt: 71.0ms (7.1% of total)
ival-add: 60.0ms (6% of total)
const: 20.0ms (2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess141.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
1106×sum3-define
998×distribute-lft-neg-in
852×*-lowering-*.f32
852×*-lowering-*.f64
822×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1192210
2641210
32298210
44615210
01724
13321
27821
320421
461221
5112621
6154521
7160721
8162521
9164321
10165121
11165321
12165321
0165321
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
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))))))
Call 2
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 (/ 1/2 J)) (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 (/ 1/2 J)) (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 (/ 1/2 J)) (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 (/ 1/2 J)) (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 (/ 1/2 J)) (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 (/ 1/2 J)) (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 (/ 1/2 J)) (cos (/ K 2)))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* (* (* -2 K) (cos (/ J 2))) (hypot 1 (/ U (* (cos (/ J 2)) (* K 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 (* (hypot 1 (/ K (* (* J 2) (cos (* U 1/2))))) (* J (cos (* U 1/2)))))
Symmetry

(abs K)

(abs U)

(negabs J)

explain215.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(*.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)))))
290-0-(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))))
10-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
10-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-(*.f64 #s(literal -2 binary64) J)
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-J
075(2.2562727365710473e-231 201533081309550.7 2.496622035693231e-129)0-(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
00-0-(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
00-0-(+.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)))
00-0-U
00-0-(*.f64 #s(literal 2 binary64) J)
0123(2.2562727365710473e-231 201533081309550.7 2.496622035693231e-129)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-K
Results
139.0ms512×0valid
Compiler

Compiled 255 to 53 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 33.0ms (47% of total)
ival-cos: 14.0ms (19.9% of total)
ival-div: 9.0ms (12.8% of total)
ival-pow: 6.0ms (8.5% of total)
ival-sqrt: 4.0ms (5.7% of total)
ival-add: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.1%
(*.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))))))
▶76.3%
(*.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)))))
Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify87.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.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-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff6528
(sqrt.f64 (+.f64 #s(literal 1 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-diff6528
(*.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)))))
Rules
852×*-lowering-*.f32
852×*-lowering-*.f64
802×associate-*r/
758×/-lowering-/.f32
758×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025179
154179
2107179
3305179
4785179
51316179
61559179
71839179
82118179
92192179
102192179
112334179
122334179
02334179
Stop Event
1×iter limit
1×saturated
Calls
Call 1
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 U (*.f64 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 U (*.f64 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 U (*.f64 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 U (*.f64 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 U (*.f64 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 U (*.f64 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 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))

localize120.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 U (*.f64 J #s(literal 2 binary64)))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy87.5%
(*.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))))))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy89.5%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓accuracy87.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
72.0ms256×0valid
Compiler

Compiled 189 to 23 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 18.0ms (36.5% of total)
ival-div: 7.0ms (14.2% of total)
compiled-spec: 7.0ms (14.2% of total)
ival-cos: 6.0ms (12.2% of total)
ival-sqrt: 4.0ms (8.1% of total)
ival-add: 3.0ms (6.1% of total)
ival-pow: 3.0ms (6.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series52.0ms (0.4%)

Counts
9 → 240
Calls
Call 1
Inputs
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (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 (* (* 2 J) (cos (/ K 2)))>
#<alt (/ U (* J 2))>
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
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#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (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 (+ (* -1/4 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<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 (* 1/2 (/ 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)))))>
Calls

60 calls:

TimeVariablePointExpression
9.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
5.0ms
J
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
J
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
K
@0
(* (* -2 J) (cos (/ K 2)))

rewrite253.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
5664×*-lowering-*.f32
5664×*-lowering-*.f64
2726×/-lowering-/.f32
2726×/-lowering-/.f64
1140×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02592
112092
289292
0935692
Stop Event
1×iter limit
1×node limit
Counts
9 → 322
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(* (* -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))
(* (* 2 J) (cos (/ K 2)))
(/ U (* J 2))
(/ (/ U (* J 2)) (cos (/ K 2)))
Outputs
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (*.f64 J #s(literal 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 J #s(literal 2 binary64))))))))
(neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(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 J #s(literal 2 binary64)))))) (*.f64 J #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 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 J #s(literal 2 binary64))))))))
(*.f64 J (*.f64 #s(literal -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 J #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (hypot.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 2 binary64) (*.f64 (-.f64 #s(literal 0 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 J #s(literal 2 binary64))))))))
(*.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 J #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 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 J #s(literal 2 binary64)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (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 -2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))))
(*.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 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 J #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) (hypot.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 binary64) (*.f64 (*.f64 J #s(literal 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 J #s(literal 2 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 #s(literal 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 J #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 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)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 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)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 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 J #s(literal 2 binary64))))) #s(literal -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 J #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 J #s(literal 2 binary64))))) (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 0 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 J #s(literal 2 binary64))))) 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 J #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(*.f64 (*.f64 (hypot.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 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 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 J #s(literal 2 binary64))))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 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 -2 binary64) J)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 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 U (*.f64 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)))
(*.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 J #s(literal 2 binary64)))))) #s(literal -2 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 J #s(literal 2 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 J #s(literal 2 binary64)))))) #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 J #s(literal 2 binary64)))))) #s(literal -1 binary64)) (*.f64 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 J #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) J)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 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 J #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 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 U (*.f64 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 U (*.f64 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 U (*.f64 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 J (*.f64 J #s(literal -4 binary64)))) (+.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 U (*.f64 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 U (*.f64 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))))))
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(*.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 (/.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 #s(literal 2 binary64) (cos.f64 (/.f64 K #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 (/.f64 U J) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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 -2 binary64) J))))
(*.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 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(*.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 -1/2 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 (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 (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 (/.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 (/.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (pow.f64 (neg.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 #s(literal -2 binary64) J)) #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 (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 J #s(literal 2 binary64))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (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 #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) #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 (-.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 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (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) (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 J #s(literal 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 #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))

simplify339.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
6352×*-lowering-*.f32
6352×*-lowering-*.f64
1792×/-lowering-/.f32
1792×/-lowering-/.f64
1680×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03915187
113574951
256304929
081054929
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -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))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 J)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 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))
(* 1/2 (/ 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 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) 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 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 J (*.f64 J (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U)))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J)) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))
(* 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 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J)) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.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 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (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 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (neg.f64 J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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U
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(* -1 U)
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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 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
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(cos (* 1/2 K))
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(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
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(* 2 J)
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(* 2 (* J (cos (* 1/2 K))))
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(* 1/2 (/ U J))
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(* 1/2 (/ U J))
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(* 1/2 (/ U J))
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(* 1/2 (/ U J))
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(* 1/2 (/ U J))
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(* 1/2 (/ U J))
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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 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
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(* 1/2 (/ U (* J (cos (* 1/2 K)))))
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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 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
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(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(* 1/2 (/ U J))
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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)))))))))
(+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 U J) #s(literal 1/16 binary64)) (*.f64 K (*.f64 K (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 U J) #s(literal 7/23040 binary64))) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))) (*.f64 (/.f64 U J) #s(literal 5/768 binary64))))))))
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(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
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eval88.0ms (0.8%)

Compiler

Compiled 19232 to 1764 computations (90.8% saved)

prune76.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New68611697
Fresh000
Picked202
Done000
Total68811699
Accuracy
99.9%
Counts
699 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.3%
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
37.6%
(-.f64 #s(literal 0 binary64) U)
44.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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))))))
▶87.0%
(*.f64 (*.f64 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
87.0%
(*.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))))))
87.0%
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
▶75.0%
(*.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 #s(literal 1/2 binary64)) J)))
36.2%
(*.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))
▶56.2%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶55.3%
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
▶12.0%
U
Compiler

Compiled 442 to 296 computations (33% saved)

simplify257.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓cost-diff0
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J)))
✓cost-diff128
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.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 #s(literal 1/2 binary64)) J)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (hypot.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 -2 binary64) J))
✓cost-diff0
(*.f64 (*.f64 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Rules
6470×/-lowering-/.f32
6470×/-lowering-/.f64
4654×*-lowering-*.f32
4654×*-lowering-*.f64
4460×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038261
195261
2262261
3798259
41887259
53224259
63296259
73298259
83298259
95009259
105109259
115113259
125113259
08742259
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J)) (cos (/ K 2)))
(* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))
1
(/ U (* (cos (/ K 2)) (* J 2)))
U
(* (cos (/ K 2)) (* J 2))
(cos (/ K 2))
(/ K 2)
K
2
(* J 2)
J
(* -2 J)
-2
U
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
1
(/ (* U 1/2) J)
(* U 1/2)
U
1/2
(* J (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))))
J
(+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J)))
(* -2 (cos (* 1/2 K)))
-2
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))
(/ (/ (* U U) J) (cos (* 1/2 K)))
(/ (* U U) J)
(* U U)
U
(/ -1/4 J)
-1/4
Outputs
(* (* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J)) (cos (/ K 2)))
(*.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 J #s(literal -2 binary64))))
(* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -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 J #s(literal -2 binary64)))
(sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 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 (* (cos (/ K 2)) (* J 2)))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(* (cos (/ K 2)) (* J 2))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #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)
(* J 2)
(*.f64 #s(literal 2 binary64) J)
J
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
U
(* (cos (* 1/2 K)) (* -2 J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(* (* -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
#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 1/2) J) (/ (* U 1/2) J))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
1
#s(literal 1 binary64)
(/ (* U 1/2) J)
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* U 1/2)
(*.f64 U #s(literal 1/2 binary64))
U
1/2
#s(literal 1/2 binary64)
(* J (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))))
(+.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
J
(+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J)))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -2 (cos (* 1/2 K)))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
-2
#s(literal -2 binary64)
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))
(/.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ (/ (* U U) J) (cos (* 1/2 K)))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ (* U U) J)
(/.f64 (*.f64 U U) J)
(* U U)
(*.f64 U U)
U
(/ -1/4 J)
(/.f64 #s(literal -1/4 binary64) J)
-1/4
#s(literal -1/4 binary64)

localize180.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy96.1%
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
✓accuracy94.2%
(*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))
✓accuracy87.0%
(/.f64 (*.f64 U U) J)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy87.5%
(*.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 #s(literal 1/2 binary64)) J)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.9%
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))
✓accuracy99.5%
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
✓accuracy99.5%
(*.f64 (*.f64 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy87.5%
(*.f64 (hypot.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 -2 binary64) J))
Results
111.0ms256×0valid
Compiler

Compiled 267 to 34 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 31.0ms (39.5% of total)
compiled-spec: 15.0ms (19.1% of total)
ival-cos: 12.0ms (15.3% of total)
ival-div: 11.0ms (14% of total)
ival-add: 4.0ms (5.1% of total)
ival-sqrt: 4.0ms (5.1% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series74.0ms (0.6%)

Counts
18 → 480
Calls
Call 1
Inputs
#<alt (* (* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J)) (cos (/ K 2)))>
#<alt (* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J))>
#<alt (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))>
#<alt (/ U (* (cos (/ K 2)) (* J 2)))>
#<alt (* (cos (* 1/2 K)) (* -2 J))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* -2 J)>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* (cos (/ K 2)) (* J 2))>
#<alt (/ (* U U) J)>
#<alt (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))>
#<alt (/ (/ (* U U) J) (cos (* 1/2 K)))>
Outputs
#<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 (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 (* -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))))))>
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#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) J)>
#<alt (+ (* 1/8 (/ (* (pow K 2) (pow U 2)) J)) (/ (pow U 2) J))>
#<alt (+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* -1/8 (/ (pow U 2) J)))) (/ (pow U 2) J))>
#<alt (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* -1/8 (/ (pow U 2) J)))) (/ (pow U 2) J))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* J (cos (* 1/2 K))))>
Calls

120 calls:

TimeVariablePointExpression
28.0ms
J
@0
(* J (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))))
6.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
3.0ms
U
@inf
(* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J))
1.0ms
K
@-inf
(* J (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))))
1.0ms
K
@inf
(* J (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))))

rewrite317.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3588×/-lowering-/.f32
3588×/-lowering-/.f64
3530×*-lowering-*.f32
3530×*-lowering-*.f64
1620×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038190
1188190
21553190
08223190
Stop Event
1×iter limit
1×node limit
Counts
18 → 385
Calls
Call 1
Inputs
(* (* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J)) (cos (/ K 2)))
(* (sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))
(/ U (* (cos (/ K 2)) (* J 2)))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
(* -2 J)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(* (* -2 J) (cos (/ K 2)))
(cos (/ K 2))
(* J (+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))))
(+ (* -2 (cos (* 1/2 K))) (* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J)))
(* -2 (cos (* 1/2 K)))
(* (cos (/ K 2)) (* J 2))
(/ (* U U) J)
(* (/ (/ (* U U) J) (cos (* 1/2 K))) (/ -1/4 J))
(/ (/ (* U U) J) (cos (* 1/2 K)))
Outputs
(*.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 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.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 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.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 J #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (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 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 J (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))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #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 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) J)
(*.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 J #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))) J)
(*.f64 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))))) #s(literal -2 binary64)))
(*.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 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 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 (*.f64 J #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 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #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))))) J) #s(literal -2 binary64))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.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)))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 U U) J))) #s(literal -1 binary64)))
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(*.f64 U (*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 U (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 U U) J)) (/.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)))) (/.f64 (*.f64 U U) J))
(*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U J))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 U U))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) J)))

simplify462.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
8684×*-lowering-*.f32
8684×*-lowering-*.f64
4414×+-lowering-+.f64
4414×+-lowering-+.f32
1670×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07098965
125818724
087258724
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
(* -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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(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) J)
(+ (* 1/8 (/ (* (pow K 2) (pow U 2)) J)) (/ (pow U 2) J))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* -1/8 (/ (pow U 2) J)))) (/ (pow U 2) J))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* -1/8 (/ (pow U 2) J)))) (/ (pow U 2) J))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
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) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (*.f64 J (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J J)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 U (*.f64 U (+.f64 (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 J (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J J)))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(* -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 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U)) #s(literal -1 binary64)))
(* 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 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U)) #s(literal -1 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 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 6 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 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U)) #s(literal -1 binary64)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U)) #s(literal -1 binary64))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal -1 binary64))))
(* -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 #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 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 K K) (+.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 -1/16 binary64))) (*.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 1/4 binary64))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 K K) (+.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 -1/16 binary64))) (*.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 1/4 binary64)))) (*.f64 (+.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 (*.f64 (*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (*.f64 (/.f64 (/.f64 (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 -1/1024 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))))) #s(literal 1/2 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 U U) J) #s(literal -1/256 binary64))))) (*.f64 #s(literal -2 binary64) (*.f64 K K))))))
(+ (* -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 #s(literal -2 binary64) J)) (*.f64 (*.f64 K K) (+.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 -1/16 binary64))) (*.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 1/4 binary64)))) (*.f64 (*.f64 (*.f64 K K) #s(literal -2 binary64)) (+.f64 (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (*.f64 (/.f64 (/.f64 (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 -1/1024 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))))) #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 #s(literal 1/12288 binary64) (/.f64 (*.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 13/2880 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)))) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (*.f64 (/.f64 (/.f64 (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 -1/1024 binary64))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))))))))))) (+.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 (*.f64 (*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (*.f64 (/.f64 (/.f64 (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 -1/1024 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))))) #s(literal 1/2 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 U U) J) #s(literal -1/256 binary64))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
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(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(+ (* 1/8 (/ (* (pow K 2) (pow U 2)) J)) (/ (pow U 2) J))
(+.f64 (/.f64 (*.f64 U U) J) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64))))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* -1/8 (/ (pow U 2) J)))) (/ (pow U 2) J))
(+.f64 (/.f64 (*.f64 U U) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 5/384 binary64))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64)))))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* -1/8 (/ (pow U 2) J)))) (/ (pow U 2) J))
(+.f64 (/.f64 (*.f64 U U) J) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/3072 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 K K))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 5/384 binary64)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64))))))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (pow U 2) (* J (cos (* 1/2 K))))
(/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval169.0ms (1.4%)

Compiler

Compiled 26724 to 2441 computations (90.9% saved)

prune125.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New998111009
Fresh246
Picked325
Done000
Total1003171020
Accuracy
100.0%
Counts
1020 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
52.2%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) #s(literal 3 binary64))) J) (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
▶35.3%
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U) U)
37.6%
(-.f64 #s(literal 0 binary64) U)
44.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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))))))
30.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
✓87.0%
(*.f64 (*.f64 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
▶87.0%
(*.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))))))
▶87.0%
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
56.5%
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
57.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
52.8%
(*.f64 J (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64))) (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
29.5%
(*.f64 J (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J J)))
52.8%
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64))) (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
▶30.1%
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
▶33.1%
(*.f64 #s(literal -2 binary64) J)
✓12.0%
U
Compiler

Compiled 942 to 506 computations (46.3% saved)

simplify248.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓cost-diff256
(*.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-diff256
(*.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-diff0
(*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U)
✓cost-diff0
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U) U)
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))
✓cost-diff0
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64))
✓cost-diff128
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
Rules
5410×*-lowering-*.f32
5410×*-lowering-*.f64
1482×fnmadd-define
1326×/-lowering-/.f32
1326×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043292
1112289
2350289
31128287
42980287
53716287
64950287
08280287
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))
1
(/ (/ U (cos (/ K 2))) (* J 2))
(/ U (cos (/ K 2)))
U
(* J 2)
(* -2 J)
-2
J
(* J (+ (/ (* -1/4 (* U U)) (* J J)) -2))
J
(+ (/ (* -1/4 (* U U)) (* J J)) -2)
(/ (* -1/4 (* U U)) (* J J))
(* -1/4 (* U U))
-1/4
(* U U)
U
(* J J)
-2
(- (/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U) U)
(/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U)
(* -2 (* J (* J (pow (cos (* 1/2 K)) 2))))
-2
(* J (* J (pow (cos (* 1/2 K)) 2)))
J
(* J (pow (cos (* 1/2 K)) 2))
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
U
(* (* (* -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)
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 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))))))
(* (* -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 (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 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 (cos (/ K 2))) (* J 2))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ U (cos (/ K 2)))
(/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(* J (+ (/ (* -1/4 (* U U)) (* J J)) -2))
(+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J))
J
(+ (/ (* -1/4 (* U U)) (* J J)) -2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))
(/ (* -1/4 (* U U)) (* J J))
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J))
(* -1/4 (* U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* U U)
(*.f64 U U)
U
(* J J)
(*.f64 J J)
-2
#s(literal -2 binary64)
(- (/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U) U)
(-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 J U))) U)
(/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U)
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 J U)))
(* -2 (* J (* J (pow (cos (* 1/2 K)) 2))))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
-2
#s(literal -2 binary64)
(* J (* J (pow (cos (* 1/2 K)) 2)))
(*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))
J
(* J (pow (cos (* 1/2 K)) 2))
(*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
2
#s(literal 2 binary64)
U
(* (* (* -2 J) (/ 1 (/ 1 (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 U (*.f64 J #s(literal 2 binary64))) (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))

localize260.0ms (2.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy99.6%
(/.f64 U (*.f64 J #s(literal 2 binary64)))
✓accuracy99.5%
(*.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))))))
✓accuracy87.5%
(*.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))))))
✓accuracy99.9%
(*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
✓accuracy99.8%
(*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy85.3%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U)
✓accuracy100.0%
(*.f64 J J)
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓accuracy96.2%
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
✓accuracy72.4%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy99.8%
(/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.5%
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
✓accuracy87.5%
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
Results
183.0ms256×0valid
Compiler

Compiled 309 to 39 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 68.0ms (52.2% of total)
ival-div: 16.0ms (12.3% of total)
compiled-spec: 15.0ms (11.5% of total)
ival-cos: 12.0ms (9.2% of total)
ival-sub: 7.0ms (5.4% of total)
ival-add: 4.0ms (3.1% of total)
ival-sqrt: 4.0ms (3.1% of total)
ival-pow: 3.0ms (2.3% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series69.0ms (0.6%)

Counts
21 → 492
Calls
Call 1
Inputs
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (cos (/ K 2))>
#<alt (* J (+ (/ (* -1/4 (* U U)) (* J J)) -2))>
#<alt (+ (/ (* -1/4 (* U U)) (* J J)) -2)>
#<alt (/ (* -1/4 (* U U)) (* J J))>
#<alt (* -1/4 (* U U))>
#<alt (- (/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U) U)>
#<alt (/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U)>
#<alt (* -2 (* J (* J (pow (cos (* 1/2 K)) 2))))>
#<alt (* J (* J (pow (cos (* 1/2 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 (/ 1 (/ 1 (cos (/ K 2))))>
#<alt (/ (/ U (cos (/ K 2))) (* J 2))>
#<alt (/ U (cos (/ K 2)))>
#<alt (* J J)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (/ U (* J 2))>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)>
#<alt (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)>
#<alt (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)>
#<alt (* -2 J)>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* -2 J)>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))>
#<alt (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))>
#<alt (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))>
#<alt (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))>
#<alt (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))>
#<alt -2>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))>
#<alt (* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))>
#<alt (* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))>
#<alt (* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))>
#<alt (* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) (pow J 2))>
#<alt (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) (pow J 2))>
#<alt (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) (pow J 2))>
#<alt -2>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt -2>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1 U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
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#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt U>
#<alt (+ U (* 1/8 (* (pow K 2) U)))>
#<alt (+ U (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 U) (* 1/384 U)))) (* -1/8 U))))>
#<alt (+ U (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 1/8 (+ (* -1/64 U) (* 1/384 U))))))) (+ (* -1/64 U) (* 1/384 U)))) (* -1/8 U))))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (/ U (cos (* 1/2 K)))>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt J>
#<alt (+ J (* -1/4 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/4 J) (* 1/48 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/1440 (* J (pow K 2))) (* 1/48 J))))))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 2))>
#<alt (* J (pow (cos (* 1/2 K)) 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))>
Calls

123 calls:

TimeVariablePointExpression
17.0ms
K
@0
(* J (* J (pow (cos (* 1/2 K)) 2)))
1.0ms
U
@0
(/ U (cos (/ K 2)))
1.0ms
U
@-inf
(/ U (cos (/ K 2)))
1.0ms
K
@inf
(/ U (cos (/ K 2)))
1.0ms
K
@-inf
(/ U (cos (/ K 2)))

rewrite343.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3534×/-lowering-/.f32
3534×/-lowering-/.f64
2934×*-lowering-*.f32
2934×*-lowering-*.f64
1942×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043197
1235186
22315180
08377180
Stop Event
1×iter limit
1×node limit
Counts
21 → 557
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
(cos (/ K 2))
(* J (+ (/ (* -1/4 (* U U)) (* J J)) -2))
(+ (/ (* -1/4 (* U U)) (* J J)) -2)
(/ (* -1/4 (* U U)) (* J J))
(* -1/4 (* U U))
(- (/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U) U)
(/ (* -2 (* J (* J (pow (cos (* 1/2 K)) 2)))) U)
(* -2 (* J (* J (pow (cos (* 1/2 K)) 2))))
(* J (* J (pow (cos (* 1/2 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)))))
(/ 1 (/ 1 (cos (/ K 2))))
(/ (/ U (cos (/ K 2))) (* J 2))
(/ U (cos (/ K 2)))
(* J J)
(pow (cos (* 1/2 K)) 2)
(* J (pow (cos (* 1/2 K)) 2))
(/ U (* J 2))
Outputs
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 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 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 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 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.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 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.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 -2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.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 (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.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) (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 -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 (*.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 #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 -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 #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 -2 binary64) J)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal 1 binary64) (*.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 J (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 J #s(literal 2 binary64)) #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 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))
(neg.f64 (*.f64 J #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) J)
(*.f64 #s(literal -2 binary64) (*.f64 J #s(literal 1 binary64)))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 J))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64))
(*.f64 (neg.f64 J) #s(literal 2 binary64))
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(-.f64 #s(literal 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 (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 #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))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 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 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 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.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) (cos.f64 (/.f64 K #s(literal 2 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 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 #s(literal -2 binary64) J))) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 #s(literal -2 binary64) J))))
(fma.f64 #s(literal -2 binary64) J (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 #s(literal -2 binary64) (*.f64 J #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 J (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal 2 binary64) (neg.f64 J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) J) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) J (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (*.f64 (/.f64 (*.f64 U U) J) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (neg.f64 J) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 (*.f64 J #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J) (*.f64 #s(literal -2 binary64) J))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 K #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))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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))))))))
(/.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) (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) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.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)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (*.f64 (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 (neg.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (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 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 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 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) J)
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(neg.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 U J)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U))))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J))))
(/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 #s(literal -2 binary64) J))
(/.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (*.f64 U #s(literal 1 binary64)) (*.f64 J #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) U)) (neg.f64 (*.f64 #s(literal -2 binary64) J)))
(/.f64 (neg.f64 (/.f64 U J)) #s(literal -2 binary64))
(/.f64 (/.f64 U #s(literal 2 binary64)) J)
(/.f64 (neg.f64 (*.f64 U #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) U))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J))))
(/.f64 (neg.f64 (neg.f64 (/.f64 U J))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 U #s(literal 2 binary64))) (neg.f64 J))
(pow.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) U)
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 #s(literal 2 binary64) U) #s(literal -1 binary64)))

simplify345.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
6754×*-lowering-*.f32
6754×*-lowering-*.f64
1866×times-frac
1754×+-lowering-+.f64
1754×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04237125
114526940
258686922
087176922
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* -1/4 (/ (pow U 2) J))
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -2 J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(* -1/4 (/ (pow U 2) J))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* -1/4 (/ (pow U 2) J))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
-2
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(* -1/4 (/ (pow U 2) (pow J 2)))
(* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))
(* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))
(* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))
(* -1/4 (/ (pow U 2) (pow J 2)))
(* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))
(* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))
(* -1 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (* 2 (/ 1 (pow U 2))))))
(* -1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) (pow J 2))
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) (pow J 2))
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) (pow J 2))
-2
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
-2
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
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(+ U (* 1/8 (* (pow K 2) U)))
(+ U (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 U) (* 1/384 U)))) (* -1/8 U))))
(+ U (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 1/8 (+ (* -1/64 U) (* 1/384 U))))))) (+ (* -1/64 U) (* 1/384 U)))) (* -1/8 U))))
(/ U (cos (* 1/2 K)))
(/ U (cos (* 1/2 K)))
(/ U (cos (* 1/2 K)))
(/ U (cos (* 1/2 K)))
(/ U (cos (* 1/2 K)))
(/ U (cos (* 1/2 K)))
(/ U (cos (* 1/2 K)))
(/ U (cos (* 1/2 K)))
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
J
(+ J (* -1/4 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/4 J) (* 1/48 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/1440 (* J (pow K 2))) (* 1/48 J))))))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 2))
(* J (pow (cos (* 1/2 K)) 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))
Outputs
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) 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 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 J (*.f64 J (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U)))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))
(* 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 #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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.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 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (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 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (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 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (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 (*.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 K (*.f64 K (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.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 (* (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 K K) (*.f64 #s(literal -2 binary64) (+.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 (*.f64 U U) J) #s(literal -1/256 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 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.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 K (*.f64 K (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.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 (*.f64 #s(literal -2 binary64) (*.f64 K K)) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/256 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 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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) (+.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 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal -1/96 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 13/2880 binary64)))) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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 J J) (+.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 #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 (*.f64 U U) J) J) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -1/46080 binary64))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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U
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(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))

eval235.0ms (2%)

Compiler

Compiled 29393 to 2694 computations (90.8% saved)

prune168.0ms (1.4%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New1189111200
Fresh3710
Picked325
Done022
Total1195221217
Accuracy
100.0%
Counts
1217 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
32.0%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
▶87.0%
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 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)))))
32.6%
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
35.3%
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
38.3%
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
▶37.6%
(-.f64 #s(literal 0 binary64) U)
44.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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))))))
▶86.9%
(*.f64 (/.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))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
30.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
✓87.0%
(*.f64 (*.f64 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
68.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
74.9%
(*.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))) #s(literal 1 binary64))))
67.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.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)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓87.0%
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
▶16.9%
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
56.5%
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
▶57.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
52.8%
(*.f64 J (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64))) (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
17.6%
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
✓33.1%
(*.f64 #s(literal -2 binary64) J)
✓12.0%
U
Compiler

Compiled 946 to 582 computations (38.5% saved)

simplify196.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff256
(/.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)))
✓cost-diff256
(*.f64 (/.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))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓cost-diff0
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓cost-diff0
(/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U))
✓cost-diff0
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J))
✓cost-diff0
(*.f64 U U)
✓cost-diff256
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff0
(/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff128
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 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)))))
Rules
4046×*-lowering-*.f32
4046×*-lowering-*.f64
1588×*-commutative
1560×/-lowering-/.f32
1560×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043267
1115260
2333259
31050255
43392255
54609255
66076255
76811255
86915255
96984255
107643255
08045255
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J)) (/ 1 (cos (/ K 2))))
(* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))
1
(/ (* U (/ 1/2 J)) (cos (/ K 2)))
(* U (/ 1/2 J))
U
(/ 1/2 J)
1/2
J
(cos (/ K 2))
(/ K 2)
K
2
(* -2 J)
-2
(/ 1 (cos (/ K 2)))
(- 0 U)
0
U
(* (* U U) (+ (/ (* -2 J) (* U U)) (/ -1/4 J)))
(* U U)
U
(+ (/ (* -2 J) (* U U)) (/ -1/4 J))
(/ (* -2 J) (* U U))
(* -2 J)
-2
J
(/ -1/4 J)
-1/4
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(* -2 J)
-2
J
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
1
(/ (* U 1/2) J)
(* U 1/2)
U
1/2
(* (/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))
1
(/ (/ 1 (cos (/ K 2))) (* -2 J))
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ K 2)
K
2
(* -2 J)
-2
J
(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)
Outputs
(/ (* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J)) (/ 1 (cos (/ K 2))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64)))
(sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(/ (* U (/ 1/2 J)) (cos (/ K 2)))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* U (/ 1/2 J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
U
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
1/2
#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)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ 1 (cos (/ K 2)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(* (* U U) (+ (/ (* -2 J) (* U U)) (/ -1/4 J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J))
(* U U)
(*.f64 U U)
U
(+ (/ (* -2 J) (* U U)) (/ -1/4 J))
(+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))
(/ (* -2 J) (* U U))
(/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(/ -1/4 J)
(/.f64 #s(literal -1/4 binary64) J)
-1/4
#s(literal -1/4 binary64)
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
1
#s(literal 1 binary64)
(/ (* U 1/2) J)
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* U 1/2)
(*.f64 U #s(literal 1/2 binary64))
U
1/2
#s(literal 1/2 binary64)
(* (/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J))) (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 -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
1
#s(literal 1 binary64)
(/ (/ 1 (cos (/ K 2))) (* -2 J))
(/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #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
2
#s(literal 2 binary64)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(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))

localize254.0ms (2.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.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)))
✓accuracy99.6%
(/.f64 U (*.f64 J #s(literal 2 binary64)))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))
✓accuracy87.5%
(*.f64 (/.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))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓accuracy100.0%
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
✓accuracy100.0%
(*.f64 U #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy87.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J))
✓accuracy86.7%
(/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U))
✓accuracy64.2%
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.8%
(/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.5%
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 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)))))
✓accuracy87.5%
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))
Results
142.0ms256×0valid
Compiler

Compiled 280 to 37 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
compiled-spec: 48.0ms (34% of total)
ival-mult: 29.0ms (20.5% of total)
ival-sqrt: 28.0ms (19.8% of total)
ival-div: 22.0ms (15.6% of total)
ival-cos: 6.0ms (4.2% of total)
ival-add: 5.0ms (3.5% of total)
ival-sub: 1.0ms (0.7% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.3%)

Counts
19 → 456
Calls
Call 1
Inputs
#<alt (/ (* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J)) (/ 1 (cos (/ K 2))))>
#<alt (* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J))>
#<alt (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))>
#<alt (/ (* U (/ 1/2 J)) (cos (/ K 2)))>
#<alt (- 0 U)>
#<alt (* (* U U) (+ (/ (* -2 J) (* U U)) (/ -1/4 J)))>
#<alt (* U U)>
#<alt (+ (/ (* -2 J) (* U U)) (/ -1/4 J))>
#<alt (/ (* -2 J) (* U U))>
#<alt (* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))>
#<alt (* -2 J)>
#<alt (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))>
#<alt (/ (* U 1/2) J)>
#<alt (* (/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))>
#<alt (/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))>
#<alt (/ (/ 1 (cos (/ K 2))) (* -2 J))>
#<alt (/ 1 (cos (/ K 2)))>
#<alt (* U 1/2)>
#<alt (/ U (* J 2))>
Outputs
#<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))))))))>
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#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<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 (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<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))>
Calls

114 calls:

TimeVariablePointExpression
13.0ms
U
@0
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
3.0ms
J
@inf
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
1.0ms
J
@0
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
1.0ms
J
@0
(* (* U U) (+ (/ (* -2 J) (* U U)) (/ -1/4 J)))
1.0ms
U
@0
(* (* U U) (+ (/ (* -2 J) (* U U)) (/ -1/4 J)))

rewrite344.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3340×/-lowering-/.f32
3340×/-lowering-/.f64
2786×*-lowering-*.f32
2786×*-lowering-*.f64
1802×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043178
1264171
22851169
08854169
Stop Event
1×iter limit
1×node limit
Counts
19 → 716
Calls
Call 1
Inputs
(/ (* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J)) (/ 1 (cos (/ K 2))))
(* (sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))
(/ (* U (/ 1/2 J)) (cos (/ K 2)))
(- 0 U)
(* (* U U) (+ (/ (* -2 J) (* U U)) (/ -1/4 J)))
(* U U)
(+ (/ (* -2 J) (* U U)) (/ -1/4 J))
(/ (* -2 J) (* U U))
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(* -2 J)
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
(/ (* U 1/2) J)
(* (/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))
(/ (/ 1 (cos (/ K 2))) (* -2 J))
(/ 1 (cos (/ K 2)))
(* U 1/2)
(/ U (* J 2))
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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J) (+.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))))
(neg.f64 (/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (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 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #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) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (neg.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) J))
(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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.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 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 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 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 J (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (pow.f64 (/.f64 (/.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 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 J (/.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 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 J #s(literal 1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) J)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))
(*.f64 J (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64))) (/.f64 U (*.f64 J #s(literal -2 binary64))))
(neg.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 U J)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(/.f64 U (/.f64 J #s(literal 1/2 binary64)))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J))))
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) J))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (*.f64 J #s(literal -2 binary64)) U))
(/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J #s(literal -2 binary64)))
(/.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (*.f64 U #s(literal 1 binary64)) (/.f64 J #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) U) (/.f64 J #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)) J)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) U)) (/.f64 J #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 U J)) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U))) (neg.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) U)))
(/.f64 (neg.f64 (*.f64 U #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 U U)))
(/.f64 (/.f64 U #s(literal 2 binary64)) J)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) U)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 U #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) U))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) U))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 U J))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 U #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) J))))
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(/.f64 (neg.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) J))
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(pow.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64))) #s(literal -1 binary64))
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(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) U))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) U) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) U)
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64)))
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) J)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 #s(literal 2 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) U)
(*.f64 (pow.f64 (/.f64 U J) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)) (pow.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 U #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) J)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64)))

simplify373.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
7382×*-lowering-*.f32
7382×*-lowering-*.f64
3482×+-lowering-+.f64
3482×+-lowering-+.f32
1612×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06588083
122617754
085127754
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* -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 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))) (* 1/4 (/ 1 (* J (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))) (* 1/4 (/ 1 (* J (pow (cos (* 1/2 K)) 2)))))))
(* -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))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K)))))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K)))))
(/ 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))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K))))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K))))))
(* -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) (pow (cos (* 1/2 K)) 3)) (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) (pow (cos (* 1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))))))))
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/16 (* (/ (* (pow K 2) (pow U 2)) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (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))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -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 J)
(- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))
(- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
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)))
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 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))
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) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (*.f64 J (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (*.f64 U (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 J (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal -1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* -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 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64)))
(* 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 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 6 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 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal -1 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 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 U (*.f64 U U))) (*.f64 #s(literal 2 binary64) (*.f64 J J))))) 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 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 U (*.f64 U U)))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.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) (* (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 -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 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))
(* 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 (+.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 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.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 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (+.f64 (+.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 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 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 #s(literal 0 binary64) (*.f64 J (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (+.f64 (/.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 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.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 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 K (*.f64 K (+.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 -1/16 binary64))) (*.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))))))))))
(+ (* -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 #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 #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 (*.f64 #s(literal 1/2 binary64) (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 J (-.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 (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 -1/16 binary64))) (*.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))))))))))
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(/ U (cos (* 1/2 K)))
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K))))))
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U
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1
#s(literal 1 binary64)
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eval168.0ms (1.4%)

Compiler

Compiled 32225 to 3173 computations (90.2% saved)

prune164.0ms (1.4%)

Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New1272171289
Fresh21113
Picked325
Done044
Total1277341311
Accuracy
100.0%
Counts
1311 → 34
Alt Table
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StatusAccuracyProgram
87.3%
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
13.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
32.0%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
67.8%
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
8.7%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
56.1%
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
32.6%
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
35.3%
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
38.3%
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
44.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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))))))
5.2%
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
✓86.9%
(*.f64 (/.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))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
9.0%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
30.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
✓87.0%
(*.f64 (*.f64 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
68.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓87.0%
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
20.9%
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
10.8%
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
15.3%
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
15.5%
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
5.3%
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
16.8%
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
16.8%
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
56.5%
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
✓57.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
57.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
7.7%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
8.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
52.8%
(*.f64 J (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64))) (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
17.6%
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
✓33.1%
(*.f64 #s(literal -2 binary64) J)
37.6%
(neg.f64 U)
✓12.0%
U
Compiler

Compiled 1901 to 727 computations (61.8% saved)

regimes96.0ms (0.8%)

Counts
52 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.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 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(*.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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
(*.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 #s(literal 1/2 binary64)) J)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U) U)
(*.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))) #s(literal 1 binary64))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 J (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J J)))
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 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) (/.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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 #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 -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) #s(literal 1/2 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 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 J (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64))) (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64))) (/.f64 (/.f64 (*.f64 U U) J) (/.f64 J #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.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)))) (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 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) #s(literal 3 binary64))) J) (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
Calls

6 calls:

16.0ms
K
15.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
J
15.0ms
U
14.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
87.3%1J
87.3%1K
89.6%2U
99.6%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
87.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
87.3%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes19.0ms (0.2%)

Counts
44 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.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 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(*.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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
(*.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 #s(literal 1/2 binary64)) J)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U) U)
(*.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))) #s(literal 1 binary64))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 J (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J J)))
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 #s(literal 1/2 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) (/.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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))))))
Outputs
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
Calls

1 calls:

13.0ms
U
Results
AccuracySegmentsBranch
89.6%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts
40 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.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 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(*.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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
(*.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 #s(literal 1/2 binary64)) J)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U) U)
(*.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))) #s(literal 1 binary64))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 J (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J J)))
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (hypot.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 -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 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))))))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
Calls

1 calls:

11.0ms
U
Results
AccuracySegmentsBranch
89.4%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Counts
38 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.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 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(*.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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
(*.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 #s(literal 1/2 binary64)) J)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U) U)
(*.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))) #s(literal 1 binary64))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 J (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J J)))
(*.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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
Calls

1 calls:

11.0ms
U
Results
AccuracySegmentsBranch
89.3%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes59.0ms (0.5%)

Counts
37 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.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 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(*.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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
(*.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 #s(literal 1/2 binary64)) J)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) U) U)
(*.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))) #s(literal 1 binary64))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 J (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J J)))
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 #s(literal 1/2 binary64)) J)))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
Calls

5 calls:

12.0ms
J
11.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms
U
10.0ms
K
Results
AccuracySegmentsBranch
80.4%2J
75.0%1K
75.0%1(/.f64 K #s(literal 2 binary64))
78.4%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
82.7%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes51.0ms (0.4%)

Counts
30 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.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 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(*.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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U)
Outputs
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
Calls

5 calls:

10.0ms
J
10.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
U
9.0ms
K
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
72.5%2K
72.5%2(/.f64 K #s(literal 2 binary64))
75.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
73.6%3J
71.7%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes43.0ms (0.4%)

Counts
26 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(neg.f64 U)
Calls

5 calls:

9.0ms
J
8.0ms
(/.f64 K #s(literal 2 binary64))
7.0ms
U
7.0ms
K
7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
71.5%2U
70.1%2J
59.2%2K
59.2%2(/.f64 K #s(literal 2 binary64))
61.1%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes11.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)
Calls

1 calls:

8.0ms
U
Results
AccuracySegmentsBranch
71.2%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts
23 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64)))
(*.f64 (*.f64 U U) (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U (+.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J))) U)
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 J (*.f64 (*.f64 U U) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) (*.f64 U #s(literal -1/4 binary64))) (*.f64 U J)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) #s(literal -1/4 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal -2 binary64)))) J)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
Outputs
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64)))
(neg.f64 U)
Calls

3 calls:

11.0ms
J
7.0ms
U
7.0ms
K
Results
AccuracySegmentsBranch
48.5%4K
52.0%2J
52.0%2U
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(*.f64 (*.f64 U U) (/.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U U)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -2 binary64) J))
Outputs
(*.f64 #s(literal -2 binary64) J)
(neg.f64 U)
Calls

1 calls:

4.0ms
U
Results
AccuracySegmentsBranch
52.0%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
(neg.f64 U)
U
Calls

3 calls:

2.0ms
J
2.0ms
U
2.0ms
K
Results
AccuracySegmentsBranch
39.5%2K
37.6%1J
37.6%1U
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
U
Outputs
U
Calls

3 calls:

1.0ms
U
1.0ms
K
1.0ms
J
Results
AccuracySegmentsBranch
12.0%1U
12.0%1J
12.0%1K
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.764952966162361e+293
+inf
0.0ms
-inf
-1.1127933704268185e+305
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.993873505336775e+203
3.2084332613147005e+207
Results
17.0ms128×0valid
Compiler

Compiled 425 to 294 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (31.3% of total)
ival-cos: 3.0ms (23.5% of total)
ival-div: 2.0ms (15.6% of total)
ival-add: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
ival-pow: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.993873505336775e+203
3.2084332613147005e+207
Results
17.0ms128×0valid
Compiler

Compiled 425 to 286 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (39.7% of total)
ival-cos: 3.0ms (23.8% of total)
ival-div: 2.0ms (15.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-sqrt: 1.0ms (7.9% of total)
ival-pow: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.993873505336775e+203
3.2084332613147005e+207
Results
19.0ms128×0valid
Compiler

Compiled 425 to 286 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (43% of total)
ival-cos: 3.0ms (21.5% of total)
ival-div: 2.0ms (14.3% of total)
ival-pow: 2.0ms (14.3% of total)
ival-add: 1.0ms (7.2% of total)
ival-sqrt: 1.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
1.0034797255287683e+139
2.466317613088046e+151
Results
24.0ms160×0valid
Compiler

Compiled 473 to 352 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.5% of total)
ival-cos: 4.0ms (23.7% of total)
ival-div: 2.0ms (11.8% of total)
ival-add: 2.0ms (11.8% of total)
ival-pow: 2.0ms (11.8% of total)
ival-sqrt: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.5847552561122221
0.5999744656119267
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
3.290605185461325e+75
1.5036128667582216e+76
Results
16.0ms96×0valid
Compiler

Compiled 141 to 112 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (41.7% of total)
ival-mult: 3.0ms (25% of total)
ival-div: 1.0ms (8.3% 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)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
3.290605185461325e+75
1.5036128667582216e+76
Results
16.0ms96×0valid
Compiler

Compiled 141 to 112 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (41.3% of total)
ival-mult: 3.0ms (24.8% of total)
ival-div: 1.0ms (8.3% 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)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.290605185461325e+75
1.5036128667582216e+76
Results
17.0ms96×0valid
Compiler

Compiled 159 to 118 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (31% of total)
ival-cos: 2.0ms (20.6% of total)
ival-div: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
ival-sqrt: 1.0ms (10.3% of total)
ival-pow: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
3.290605185461325e+75
1.5036128667582216e+76
Results
16.0ms96×0valid
Compiler

Compiled 111 to 88 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54.9% of total)
ival-cos: 2.0ms (15.7% of total)
ival-div: 1.0ms (7.8% of total)
ival-add: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
ival-pow: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
7.007094407810361e+121
2.4065563784547187e+122
Results
12.0ms80×0valid
Compiler

Compiled 88 to 67 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (32.9% of total)
ival-mult: 3.0ms (32.9% of total)
ival-div: 1.0ms (11% of total)
ival-sqrt: 1.0ms (11% of total)
ival-pow: 1.0ms (11% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
66×*-commutative_binary64
34×+-commutative_binary64
28×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101357
1136357
2153357
3166357
4178357
5192357
6208357
7220357
8226357
9228357
Stop Event
1×saturated
Calls
Call 1
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 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 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 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))))
(if (<=.f64 U #s(literal 154999999999999995335284322866680163162396785547505327949664378248109168853564126156347773546872812527122861958419662370404501384572736086137076778469284049144698640608116758778465488469995739883213084950528 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 U #s(literal 800000000000000031114862040870710745045897994361616106674419056061530354315079174104639724863021611098611682495529706330825364891275500493232146937770151522835476690100935548356531646461247569754577925308416 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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 U #s(literal 80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512 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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 U #s(literal 640000000000000032526262297791800301106629724704629746460749313847805549722390545285016855843453452242621458396530037397202852937501976138088448 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 #s(literal 1/2 binary64)) J))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5314247560297185/9007199254740992 binary64)) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(if (<=.f64 U #s(literal 10399999999999999396707528661303496358687762672190726279751822143995051507712 binary64)) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)) (neg.f64 U))
(if (<=.f64 U #s(literal 12400000000000000454990624208508600862176938358461613945929360320650402594816 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))
(if (<=.f64 U #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64))) (neg.f64 U))
(if (<=.f64 U #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(if (<=.f64 K #s(literal 160000000000000005974549399543358235510292412071869126096443686566048081290743953622057813942738022640838384469475072147456 binary64)) (neg.f64 U) 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 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 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 #s(literal 0 binary64) U) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (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 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 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))))) (*.f64 U (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (-.f64 #s(literal 0 binary64) (*.f64 U U))) #s(literal -1 binary64)))))
(if (<=.f64 U #s(literal 154999999999999995335284322866680163162396785547505327949664378248109168853564126156347773546872812527122861958419662370404501384572736086137076778469284049144698640608116758778465488469995739883213084950528 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 U #s(literal 800000000000000031114862040870710745045897994361616106674419056061530354315079174104639724863021611098611682495529706330825364891275500493232146937770151522835476690100935548356531646461247569754577925308416 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 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 U #s(literal 80000000000000001329282837828401067222882140959485311881024519962184312549010840106059610295412557005988976328704767594550384311942234693585439411989734684216101840993603637549717744974146260849335061184512 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 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 U #s(literal 640000000000000032526262297791800301106629724704629746460749313847805549722390545285016855843453452242621458396530037397202852937501976138088448 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 #s(literal 1/2 binary64)) J))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.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))))))) U)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5314247560297185/9007199254740992 binary64)) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5314247560297185/9007199254740992 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(if (<=.f64 U #s(literal 10399999999999999396707528661303496358687762672190726279751822143995051507712 binary64)) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)) (neg.f64 U))
(if (<=.f64 U #s(literal 10399999999999999396707528661303496358687762672190726279751822143995051507712 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 12400000000000000454990624208508600862176938358461613945929360320650402594816 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))
(if (<=.f64 U #s(literal 12400000000000000454990624208508600862176938358461613945929360320650402594816 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 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 J #s(literal 2 binary64))) (neg.f64 U))
(if (<=.f64 U #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(if (<=.f64 U #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 K #s(literal 160000000000000005974549399543358235510292412071869126096443686566048081290743953622057813942738022640838384469475072147456 binary64)) (neg.f64 U) U)
(if (<=.f64 K #s(literal 160000000000000005974549399543358235510292412071869126096443686566048081290743953622057813942738022640838384469475072147456 binary64)) (-.f64 #s(literal 0 binary64) U) U)
U

soundness2.4s (20.8%)

Rules
8684×*-lowering-*.f32
8684×*-lowering-*.f64
7382×*-lowering-*.f32
7382×*-lowering-*.f64
6352×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06588083
122617754
085127754
043178
1264171
22851169
08854169
043197
1235186
22315180
08377180
02592
112092
289292
0935692
038190
1188190
21553190
08223190
01724
13321
27821
320421
461221
5112621
6154521
7160721
8162521
9164321
10165121
11165321
12165321
0165321
03915187
113574951
256304929
081054929
07098965
125818724
087258724
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 883 to 485 computations (45.1% saved)

preprocess175.0ms (1.5%)

Remove

(abs K)

Compiler

Compiled 1778 to 564 computations (68.3% saved)

end0.0ms (0%)

Profiling

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