Maksimov and Kolovsky, Equation (3)

Time bar (total: 11.0s)

analyze379.0ms (3.4%)

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: 210.0ms
ival-mult: 105.0ms (50.1% of total)
ival-pow: 30.0ms (14.3% of total)
ival-div: 23.0ms (11% of total)
ival-sqrt: 18.0ms (8.6% of total)
ival-cos: 16.0ms (7.6% of total)
ival-add: 12.0ms (5.7% of total)
const: 5.0ms (2.4% of total)
backward-pass: 1.0ms (0.5% of total)

sample1.7s (15.6%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 362.0ms (35.9% of total)
ival-cos: 271.0ms (26.8% of total)
ival-div: 123.0ms (12.2% of total)
ival-pow: 102.0ms (10.1% of total)
ival-sqrt: 79.0ms (7.8% of total)
ival-add: 49.0ms (4.9% of total)
const: 20.0ms (2% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess127.0ms (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)

explain182.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-0-(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))))
280-0-(*.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)))))
00-0-(*.f64 #s(literal -2 binary64) J)
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-J
076(2.9441443518923422e-5 3.429906752036314e-293 1.4553982763534428e-164)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)
0128(2.1970344325230528e-150 1.3236012011570426e+261 8.370458611083968e+212)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
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
107.0ms512×0valid
Compiler

Compiled 255 to 53 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 20.0ms (37% of total)
ival-cos: 12.0ms (22.2% of total)
ival-div: 7.0ms (13% of total)
ival-sqrt: 6.0ms (11.1% of total)
ival-pow: 6.0ms (11.1% of total)
ival-add: 3.0ms (5.6% of total)
const: 1.0ms (1.9% 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
▶89.5%
(*.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))))))
▶77.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify70.0ms (0.6%)

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))

localize129.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.8%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy89.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy89.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy88.3%
(sqrt.f64 (+.f64 #s(literal 1 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
79.0ms256×0valid
Compiler

Compiled 189 to 23 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 18.0ms (36.1% of total)
compiled-spec: 9.0ms (18.1% of total)
ival-div: 7.0ms (14% of total)
ival-cos: 6.0ms (12% of total)
ival-sqrt: 4.0ms (8% of total)
ival-add: 3.0ms (6% of total)
ival-pow: 3.0ms (6% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.4%)

Counts
9 → 264
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 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)>
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))>
#<alt (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ 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 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U J))>
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
Calls

66 calls:

TimeVariablePointExpression
4.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
K
@0
(* (* -2 J) (cos (/ K 2)))
2.0ms
K
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms
U
@-inf
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))

rewrite245.0ms (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
025103
1120103
2892103
09356103
Stop Event
1×iter limit
1×node limit
Counts
9 → 459
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))
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ (/ U (* J 2)) (cos (/ K 2)))
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 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))))
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(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 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)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal -4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal -4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal -4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 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)))

simplify329.0ms (3%)

Algorithm
1×egg-herbie
Rules
6680×*-lowering-*.f32
6680×*-lowering-*.f64
1846×/-lowering-/.f32
1846×/-lowering-/.f64
1812×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03896668
113706334
258746304
085776304
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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)))))))))))))
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U
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1
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Outputs
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U
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1
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(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (*.f64 (*.f64 K K) #s(literal 1/2 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 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.f64 K (*.f64 K (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (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))))) #s(literal -1/32 binary64)))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(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)))))

eval173.0ms (1.6%)

Compiler

Compiled 26218 to 2291 computations (91.3% saved)

prune96.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New84711858
Fresh000
Picked112
Done000
Total84812860
Accuracy
99.9%
Counts
860 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.6%
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))) U)
37.5%
(-.f64 #s(literal 0 binary64) U)
▶51.6%
(+.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))))
▶75.5%
(*.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))))
53.8%
(*.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))))))
11.0%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))))))
34.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 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))))))
✓89.5%
(*.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))))))
▶74.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
34.2%
(*.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))
▶53.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶13.5%
U
Compiler

Compiled 550 to 351 computations (36.2% saved)

simplify251.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 (*.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))))
✓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 #s(literal 1/2 binary64) (/.f64 U 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-diff128
(/.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))))
✓cost-diff128
(+.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)))))
✓cost-diff128
(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))
✓cost-diff14208
(*.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))))
Rules
3822×*-lowering-*.f32
3822×*-lowering-*.f64
2224×+-lowering-+.f64
2224×+-lowering-+.f32
2054×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
042346
195319
2248318
3558309
41089309
52430304
64186304
75648304
86570304
96723304
106930304
117714304
08067304
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J))))
(pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4)
(+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K)))))
1
(/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))
(/ U (* J (* 4 (/ J U))))
U
(* J (* 4 (/ J U)))
J
(* 4 (/ J U))
4
(/ J U)
(+ 1/2 (* 1/2 (cos K)))
1/2
(* 1/2 (cos K))
(cos K)
K
1/4
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J)))
(* (cos (/ K 2)) (* -2 J))
(cos (/ K 2))
(/ K 2)
2
(* -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) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
1
(* 1/2 (/ U J))
1/2
(/ U J)
U
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K)))
(* -1/4 (/ (* U U) J))
-1/4
(/ (* U U) J)
(* U U)
U
Outputs
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 J U) (+.f64 #s(literal 2 binary64) (*.f64 (cos.f64 K) #s(literal 2 binary64)))))))))
(pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 J U) (+.f64 #s(literal 2 binary64) (*.f64 (cos.f64 K) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 J U) (+.f64 #s(literal 2 binary64) (*.f64 (cos.f64 K) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))
(/.f64 (/.f64 U J) (*.f64 (/.f64 J U) (+.f64 #s(literal 2 binary64) (*.f64 (cos.f64 K) #s(literal 2 binary64)))))
(/ U (* J (* 4 (/ J U))))
(*.f64 U (/.f64 (/.f64 (/.f64 U J) #s(literal 4 binary64)) J))
U
(* J (* 4 (/ J U)))
(*.f64 J (/.f64 (*.f64 J #s(literal 4 binary64)) U))
J
(* 4 (/ J U))
(/.f64 (*.f64 J #s(literal 4 binary64)) U)
4
#s(literal 4 binary64)
(/ J U)
(/.f64 J U)
(+ 1/2 (* 1/2 (cos K)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos K)
(cos.f64 K)
K
1/4
#s(literal 1/4 binary64)
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 J U) (+.f64 #s(literal 2 binary64) (*.f64 (cos.f64 K) #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* (cos (/ K 2)) (* -2 J))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* -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 #s(literal 1/2 binary64) K)))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
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) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U 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) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
1
#s(literal 1 binary64)
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
1/2
#s(literal 1/2 binary64)
(/ U J)
(/.f64 U J)
U
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
(+.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* (cos (* 1/2 K)) (* -2 J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
1/2
#s(literal 1/2 binary64)
K
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K)))
(/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (* U U) J))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J)
-1/4
#s(literal -1/4 binary64)
(/ (* U U) J)
(/.f64 U (/.f64 J U))
(* U U)
(*.f64 U U)
U

localize249.0ms (2.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy86.7%
(/.f64 (*.f64 U U) J)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy89.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
✓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))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.7%
(*.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)))
✓accuracy99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓accuracy96.0%
(/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U))))
✓accuracy77.7%
(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))
Results
180.0ms256×0valid
Compiler

Compiled 351 to 40 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 31.0ms (34.2% of total)
ival-cos: 23.0ms (25.4% of total)
ival-div: 13.0ms (14.4% of total)
compiled-spec: 7.0ms (7.7% of total)
ival-pow: 7.0ms (7.7% of total)
ival-add: 5.0ms (5.5% of total)
ival-sqrt: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series214.0ms (1.9%)

Counts
19 → 492
Calls
Call 1
Inputs
#<alt (* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J))))>
#<alt (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4)>
#<alt (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))>
#<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) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))>
#<alt (/ U (* J (* 4 (/ J U))))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J)))>
#<alt (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (* U U) J)>
#<alt (/ (* -1/4 (/ (* 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) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))>
#<alt (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/16 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* -3/512 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/16 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 7/8192 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 3/512 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/16 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (/ (* (pow J 2) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)))>
#<alt (+ (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ (/ (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ (* -2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow U 4)) (/ (* (pow J 2) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ 1/2 (* 1/2 (cos K))))) (pow U 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ (/ (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ (* -2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow U 4)) (+ (/ (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ (* -2 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (+ (* 1/6 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16/3 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))))) (pow U 6)) (/ (* (pow J 2) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ 1 U)))))) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)))))>
#<alt (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U))))))>
#<alt (+ (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (/ (* (pow J 2) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)))>
#<alt (+ (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ (/ (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ (* -2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow U 4)) (/ (* (pow J 2) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ 1/2 (* 1/2 (cos K))))) (pow U 2))))>
#<alt (+ (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ (/ (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ (* -2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow U 4)) (+ (/ (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ (* -2 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (+ (* 1/6 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 16/3 (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))))) (pow U 6)) (/ (* (pow J 2) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)))))>
#<alt (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J)))))>
#<alt (+ (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (* (pow J 2) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))))>
#<alt (+ (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (* (pow J 2) (+ (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (* (pow J 2) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4))) (* 1/2 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 2))))))))>
#<alt (+ (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (* (pow J 2) (+ (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (* (pow J 2) (+ (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4))) (* 1/2 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 2)))) (* (pow J 2) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (* (pow (+ 1/2 (* 1/2 (cos K))) 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 4))) (+ (* 1/6 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 3)) (* 16/3 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))))))))))))>
#<alt 1>
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#<alt (+ (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* 1/64 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/8 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) (* J (+ (* 1/8192 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (* 1/96 (+ (* -6 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -3/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))))))) (+ (* -1/46080 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (+ (* 1/24576 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))) (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) (* J (+ (* 1/1572864 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (+ (* 1/6144 (/ (* (pow U 2) (+ (* -6 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -3/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2880 (+ (* -180 (/ (+ (* -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 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 15/256 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 45/4 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))))))))))))) (* -2 (+ (* -1/512 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))) (+ (* 1/384 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) (* J (+ (* 1/8192 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (* 1/96 (+ (* -6 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -3/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))))))))))))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
Calls

123 calls:

TimeVariablePointExpression
73.0ms
K
@inf
(pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4)
30.0ms
U
@inf
(/ U (* J (* 4 (/ J U))))
22.0ms
K
@-inf
(pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4)
9.0ms
K
@inf
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J))))
6.0ms
K
@0
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J)))

rewrite549.0ms (5%)

Algorithm
1×batch-egg-rewrite
Rules
5160×*-lowering-*.f32
5160×*-lowering-*.f64
2638×/-lowering-/.f32
2638×/-lowering-/.f64
2548×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042243
1199204
21590203
08602203
Stop Event
1×iter limit
1×node limit
Counts
19 → 313
Calls
Call 1
Inputs
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J))))
(pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4)
(+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K)))))
(/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
(* -2 J)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(* (* -2 J) (cos (/ K 2)))
(cos (/ K 2))
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
(/ U (* J (* 4 (/ J U))))
(+ 1/2 (* 1/2 (cos K)))
(* (pow (+ 1 (/ (/ U (* J (* 4 (/ J U)))) (+ 1/2 (* 1/2 (cos K))))) 1/4) (* (cos (/ K 2)) (* -2 J)))
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
(* 1/2 (/ U J))
(/ (* U U) J)
(/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K)))
Outputs
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.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 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.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 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64)))
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(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 #s(literal 4 binary64) (/.f64 U J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/8 binary64)))
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(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/2 binary64))
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(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J U))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 J U))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(/.f64 (neg.f64 (*.f64 U #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) J))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J U)) #s(literal 1 binary64))
(pow.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1/2 binary64)))
(*.f64 U (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 J (*.f64 U U))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J (*.f64 U U)) #s(literal 1 binary64)))
(/.f64 U (/.f64 J U))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (-.f64 #s(literal 0 binary64) J))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 U U))))
(/.f64 (*.f64 U #s(literal 1 binary64)) (/.f64 J U))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) J)
(pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 J (*.f64 U U)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J U)))
(*.f64 U (/.f64 U J))
(*.f64 (/.f64 U J) U)
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) #s(literal 1 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) J)
(pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(*.f64 (/.f64 U (/.f64 J U)) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 U (/.f64 J U)) (/.f64 #s(literal -1/4 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (/.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 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J))

simplify434.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
6832×+-lowering-+.f64
6832×+-lowering-+.f32
6494×*-lowering-*.f32
6494×*-lowering-*.f64
1460×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090512272
1334411862
0841211862
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
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(+ (* -2 (* J (* (cos (* 1/2 K)) (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U))))))))) (+ (* -2 (/ (* J (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ (* -2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/2 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) (pow U 4))) (* -2 (/ (* (pow J 3) (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log (/ -1 U)))))) (+ 1/2 (* 1/2 (cos K)))))) (pow U 2)))))
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(* J (+ (* -2 (* (cos (* 1/2 K)) (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))))) (* -2 (* (pow J 2) (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))))))))
(* J (+ (* -2 (* (cos (* 1/2 K)) (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))))) (* (pow J 2) (+ (* -2 (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))))) (* -2 (* (pow J 2) (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4))) (* 1/2 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 2)))))))))))
(* J (+ (* -2 (* (cos (* 1/2 K)) (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))))) (* (pow J 2) (+ (* -2 (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))))) (* (pow J 2) (+ (* -2 (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4))) (* 1/2 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 2)))))) (* -2 (* (pow J 2) (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (* (pow (+ 1/2 (* 1/2 (cos K))) 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 4))) (+ (* 1/6 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 3)) (* 16/3 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6)))))))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/512 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow J 4))) (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/512 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow J 4))) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* -1/2048 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (+ (* 1/24576 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 1/768 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))))) (pow J 6))) (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* 2 (cos (* 1/2 K))) (* 2 (/ (* (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/512 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow J 4)))))))
(* -1 (* J (+ (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* 2 (cos (* 1/2 K))) (+ (* 2 (/ (* (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))) (* 1/512 (/ (pow U 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (pow J 4))) (* 2 (/ (* (cos (* 1/2 K)) (+ (* -1/2048 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (+ (* 1/24576 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))) (* 1/768 (/ (pow U 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))))) (pow J 6))))))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J))
(+ (* -2 (* (pow K 2) (+ (* -1/8 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* 1/64 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J)))))) (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)))
(+ (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/512 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))) (+ (* 1/384 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) (* J (+ (* 1/8192 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (* 1/96 (+ (* -6 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -3/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))))))))))))) (* -2 (+ (* -1/8 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* 1/64 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))))))))
(+ (* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* 1/64 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/8 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) (* J (+ (* 1/8192 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (* 1/96 (+ (* -6 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -3/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))))))) (+ (* -1/46080 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (+ (* 1/24576 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))) (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) (* J (+ (* 1/1572864 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (+ (* 1/6144 (/ (* (pow U 2) (+ (* -6 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -3/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2880 (+ (* -180 (/ (+ (* -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 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 15/256 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))) (* 45/4 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))))))))))))) (* -2 (+ (* -1/512 (* (pow (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) 1/4) (/ (pow U 2) J))) (+ (* 1/384 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) J)) (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/4) (* J (+ (* 1/8192 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (* 1/96 (+ (* -6 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -3/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))))))))))))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
(* -2 (* (pow (* 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) 1/4) (* J (cos (* 1/2 K)))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
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(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
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(/ (pow U 2) J)
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(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
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(/ (pow U 2) J)
(/ (pow U 2) J)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
Outputs
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (*.f64 J (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (*.f64 J (*.f64 J J))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 J J))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))))
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(* J (+ (* -2 (* (cos (* 1/2 K)) (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))))) (* (pow J 2) (+ (* -2 (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))))) (* (pow J 2) (+ (* -2 (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4))) (* 1/2 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 2)))))) (* -2 (* (pow J 2) (* (cos (* 1/2 K)) (* (exp (* 1/4 (+ (log (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K)))))) (* -2 (log J))))) (+ (* -2 (/ (* (pow (+ 1/2 (* 1/2 (cos K))) 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 4))) (+ (* 1/6 (pow (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) 3)) (* 16/3 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6)))))))))))))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))) (neg.f64 U))
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 (*.f64 J J) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 U (*.f64 U U)))))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) J))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) J))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/384 binary64))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/384 binary64))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/384 binary64))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

eval192.0ms (1.7%)

Compiler

Compiled 53883 to 2592 computations (95.2% saved)

prune155.0ms (1.4%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1237101247
Fresh156
Picked235
Done011
Total1240191259
Accuracy
100.0%
Counts
1259 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶33.0%
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
54.7%
(-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
▶37.6%
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))) U)
37.5%
(-.f64 #s(literal 0 binary64) U)
27.8%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
32.2%
(*.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 #s(literal -2 binary64) (*.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)))))
53.8%
(*.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))))))
31.3%
(*.f64 (-.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) (+.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 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
11.0%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))))))
▶27.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
34.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 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))))))
✓89.5%
(*.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))))))
✓74.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
49.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
24.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
▶55.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
✓53.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶29.9%
(*.f64 #s(literal -2 binary64) J)
✓13.5%
U
Compiler

Compiled 850 to 542 computations (36.2% saved)

simplify246.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 J J))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓cost-diff0
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
✓cost-diff0
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U)))
✓cost-diff0
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))) U)
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U 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 #s(literal 1/2 binary64) (/.f64 U J))))
Rules
4018×*-lowering-*.f32
4018×*-lowering-*.f64
1550×fma-lowering-fma.f32
1550×fma-lowering-fma.f64
1456×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039259
1102257
2270257
3621257
41455255
52804255
63976255
77292255
08368255
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* -2 J) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(* -2 J)
-2
J
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
1
(* 1/2 (/ U J))
1/2
(/ U J)
U
(* -2 J)
-2
J
(* (+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8))) (* -2 J))
(+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8)))
1
(* (* K K) (+ (* (* K K) 1/384) -1/8))
(* K K)
K
(+ (* (* K K) 1/384) -1/8)
(* (* K K) 1/384)
1/384
-1/8
(* -2 J)
-2
J
(- (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))) U)
(* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U)))
-2
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
(/ (* J J) U)
(* J J)
J
U
(/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)
(+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K))))
(* (* -2 (* J J)) (cos (* 1/2 K)))
(* -2 (* J J))
-2
(* J J)
J
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(/ (* -1/4 (* U U)) (cos (* 1/2 K)))
(* -1/4 (* U U))
-1/4
(* U U)
U
Outputs
(* (* -2 J) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
1
#s(literal 1 binary64)
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
1/2
#s(literal 1/2 binary64)
(/ U J)
(/.f64 U J)
U
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(* (+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8))) (* -2 J))
(*.f64 #s(literal -2 binary64) (*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))))))
(+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))))
1
#s(literal 1 binary64)
(* (* K K) (+ (* (* K K) 1/384) -1/8))
(*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))))
(* K K)
(*.f64 K K)
K
(+ (* (* K K) 1/384) -1/8)
(+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(* (* K K) 1/384)
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
1/384
#s(literal 1/384 binary64)
-1/8
#s(literal -1/8 binary64)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(- (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))) U)
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J U))) U)
(* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J U)))
-2
#s(literal -2 binary64)
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))
(*.f64 J (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J U)))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
1/2
#s(literal 1/2 binary64)
K
2
#s(literal 2 binary64)
(/ (* J J) U)
(/.f64 (*.f64 J J) U)
(* J J)
(*.f64 J J)
J
U
(/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 #s(literal -2 binary64) J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 #s(literal -2 binary64) J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* (* -2 (* J J)) (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 #s(literal -2 binary64) J)))
(* -2 (* J J))
(*.f64 J (*.f64 #s(literal -2 binary64) J))
-2
#s(literal -2 binary64)
(* J J)
(*.f64 J J)
J
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
1/2
#s(literal 1/2 binary64)
K
(/ (* -1/4 (* U U)) (cos (* 1/2 K)))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -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

localize236.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 J J))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy72.4%
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U)))
✓accuracy99.8%
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy89.1%
(/.f64 (*.f64 J J) U)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy99.9%
(*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))
✓accuracy99.3%
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
✓accuracy97.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
✓accuracy89.7%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
Results
125.0ms256×0valid
Compiler

Compiled 270 to 37 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 29.0ms (43.4% of total)
ival-div: 7.0ms (10.5% of total)
compiled-spec: 7.0ms (10.5% of total)
ival-cos: 6.0ms (9% of total)
ival-add: 5.0ms (7.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (7.5% of total)
ival-pow: 3.0ms (4.5% of total)
ival-sqrt: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.3%)

Counts
19 → 432
Calls
Call 1
Inputs
#<alt (* (* -2 J) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))>
#<alt (* -2 J)>
#<alt (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))>
#<alt (* 1/2 (/ U J))>
#<alt (* (+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8))) (* -2 J))>
#<alt (+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8)))>
#<alt (* (* K K) (+ (* (* K K) 1/384) -1/8))>
#<alt (* K K)>
#<alt (- (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))) U)>
#<alt (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U)))>
#<alt (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)>
#<alt (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K))))>
#<alt (* (* -2 (* J J)) (cos (* 1/2 K)))>
#<alt (* -2 (* J J))>
#<alt (* (* K K) 1/384)>
#<alt (/ (* J J) U)>
#<alt (/ (* -1/4 (* U U)) (cos (* 1/2 K)))>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (pow J 2) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))>
#<alt (* -2 J)>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))>
#<alt (* -2 J)>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))>
#<alt (* -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 U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* -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) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (* -1/192 (* J (pow K 4)))>
#<alt (* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* -1/192 (* J (pow K 4)))>
#<alt (* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
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#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (pow J 2))>
#<alt (+ (* -2 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2))))>
#<alt (+ (* -2 (pow J 2)) (* (pow K 2) (+ (* -1/192 (* (pow J 2) (pow K 2))) (* 1/4 (pow J 2)))))>
#<alt (+ (* -2 (pow J 2)) (* (pow K 2) (+ (* 1/4 (pow J 2)) (* (pow K 2) (+ (* -1/192 (pow J 2)) (* 1/23040 (* (pow J 2) (pow K 2))))))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (/ (pow J 2) U)>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (pow U 2))>
#<alt (+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
Calls

108 calls:

TimeVariablePointExpression
2.0ms
J
@inf
(/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)
2.0ms
K
@inf
(/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)
1.0ms
K
@-inf
(/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)
1.0ms
J
@0
(* (+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8))) (* -2 J))
1.0ms
K
@0
(/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)

rewrite406.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3278×*-lowering-*.f32
3278×*-lowering-*.f64
2452×/-lowering-/.f32
2452×/-lowering-/.f64
2426×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039191
1195183
21617183
08645183
Stop Event
1×iter limit
1×node limit
Counts
19 → 440
Calls
Call 1
Inputs
(* (* -2 J) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(* -2 J)
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
(* 1/2 (/ U J))
(* (+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8))) (* -2 J))
(+ 1 (* (* K K) (+ (* (* K K) 1/384) -1/8)))
(* (* K K) (+ (* (* K K) 1/384) -1/8))
(* K K)
(- (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))) U)
(* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) U)))
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) U))
(pow (cos (* 1/2 K)) 2)
(/ (+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J)
(+ (* (* -2 (* J J)) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K))))
(* (* -2 (* J J)) (cos (* 1/2 K)))
(* -2 (* J J))
(* (* K K) 1/384)
(/ (* J J) U)
(/ (* -1/4 (* U U)) (cos (* 1/2 K)))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 J U)))))
(*.f64 J (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 J U)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 J U))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 J U))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 J U)))) #s(literal -2 binary64))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 J U))) #s(literal -2 binary64)) J)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 J U)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 U J) (/.f64 J U)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U))))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U J) (/.f64 J U))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U J) (/.f64 J U))))) (sqrt.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 U J) (/.f64 J U)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 U J) (/.f64 J U))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U))))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 U J) (/.f64 J U)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U J) (/.f64 J U)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 U J) (/.f64 J U)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U J) (/.f64 J U))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U J) (/.f64 J U))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) (-.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 U J) (/.f64 J U))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 U J) (/.f64 J U)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J U))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1/2 binary64) (/.f64 J U))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) U)) (-.f64 #s(literal 0 binary64) J))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 J U)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) U)) (-.f64 #s(literal 0 binary64) J))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) U))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J U)) #s(literal 1 binary64))
(pow.f64 (/.f64 J (*.f64 #s(literal 1/2 binary64) U)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 U J) #s(literal 1 binary64)))
(*.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1/2 binary64)))
(*.f64 U (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) U) J))
(*.f64 (pow.f64 (/.f64 U J) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) U) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(+.f64 (*.f64 (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(fma.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(fma.f64 (*.f64 K (*.f64 K (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
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(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(*.f64 (*.f64 K #s(literal 1/384 binary64)) K)
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 J J))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) U)) (/.f64 (*.f64 J J) (-.f64 #s(literal 0 binary64) U)))
(neg.f64 (/.f64 (*.f64 J J) (-.f64 #s(literal 0 binary64) U)))
(neg.f64 (/.f64 (*.f64 J (-.f64 #s(literal 0 binary64) J)) U))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 U (*.f64 J J)))))
(/.f64 (*.f64 J J) U)
(/.f64 (*.f64 J (-.f64 #s(literal 0 binary64) J)) (-.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 J J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 J (-.f64 #s(literal 0 binary64) J))) (neg.f64 (-.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) U)
(/.f64 (neg.f64 (neg.f64 (*.f64 J (-.f64 #s(literal 0 binary64) J)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) U))))
(/.f64 (neg.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) U))
(pow.f64 (/.f64 U (*.f64 J J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 J J)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 J (/.f64 J U))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) U))
(*.f64 (*.f64 J J) (/.f64 #s(literal 1 binary64) U))
(*.f64 (*.f64 J (-.f64 #s(literal 0 binary64) J)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (/.f64 J U) J)
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 J J))
(*.f64 (/.f64 #s(literal 1 binary64) U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) #s(literal -1 binary64)))
(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 J U))
(*.f64 (/.f64 J #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) J) U))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(neg.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))))))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 U U) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U (*.f64 U #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 U (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 U U) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 (*.f64 U U) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 U (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 (*.f64 U U) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

simplify391.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
5272×*-lowering-*.f32
5272×*-lowering-*.f64
2074×+-lowering-+.f64
2074×+-lowering-+.f32
1664×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04275623
114165545
253395533
081125533
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -2 J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(* -1 U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -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 U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* -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) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* -1/8 (pow K 2))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -1 U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(* -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))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* -1 U)
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -2 (/ (pow J 2) U))
(+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U)))
(+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U)))))
(+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U)))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
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(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
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(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
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(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (pow J 2) U)
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(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
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(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
1
(+ 1 (* -1/4 (pow K 2)))
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
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(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
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(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))) J)))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (/ (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))) J)) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (/ (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))) J))))))))))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* (pow J 2) (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow J 2) (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow J 2) (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* (pow J 2) (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow J 2) (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow J 2) (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(+ (* -2 (pow J 2)) (* -1/4 (pow U 2)))
(+ (* -2 (pow J 2)) (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (pow J 2))))))
(+ (* -2 (pow J 2)) (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (+ (* 1/4 (pow J 2)) (* (pow K 2) (+ (* -1/192 (pow J 2)) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))))
(+ (* -2 (pow J 2)) (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (+ (* 1/4 (pow J 2)) (* (pow K 2) (+ (* -1/192 (pow J 2)) (+ (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))) (* (pow K 2) (+ (* 1/23040 (pow J 2)) (* 1/4 (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))))))))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
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(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
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(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))
(* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))
(* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))
(* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))
(* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (pow J 2))
(+ (* -2 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2))))
(+ (* -2 (pow J 2)) (* (pow K 2) (+ (* -1/192 (* (pow J 2) (pow K 2))) (* 1/4 (pow J 2)))))
(+ (* -2 (pow J 2)) (* (pow K 2) (+ (* 1/4 (pow J 2)) (* (pow K 2) (+ (* -1/192 (pow J 2)) (* 1/23040 (* (pow J 2) (pow K 2))))))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(* -2 (pow J 2))
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(* -2 (pow J 2))
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(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (pow U 2))
(+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
Outputs
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U))))) (/.f64 #s(literal -2 binary64) U))) U)
(* -2 J)
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(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) J)))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(*.f64 J (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) J) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))))))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
(*.f64 J (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) J) (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64)))))))
(* -2 J)
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(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) J)))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (-.f64 #s(literal 0 binary64) J))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 J #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) J))
(* -2 J)
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(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
(* -2 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* -2 (pow J 2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(/ (pow J 2) U)
(/.f64 (*.f64 J J) U)
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))
(*.f64 (*.f64 U U) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal -1/32 binary64))))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))
(+.f64 (*.f64 (*.f64 U U) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal -1/32 binary64)))) (*.f64 (*.f64 K K) (*.f64 K (*.f64 K (*.f64 (*.f64 U U) #s(literal -5/1536 binary64))))))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))
(+.f64 (*.f64 (*.f64 U U) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal -1/32 binary64)))) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 (*.f64 (*.f64 U U) #s(literal -5/1536 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 U U) #s(literal -5/3072 binary64)) (*.f64 (*.f64 U U) #s(literal 7/23040 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval166.0ms (1.5%)

Compiler

Compiled 24319 to 1992 computations (91.8% saved)

prune115.0ms (1%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New90414918
Fresh3710
Picked235
Done044
Total90928937
Accuracy
100.0%
Counts
937 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.1%
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 K K) (+.f64 (*.f64 U (*.f64 U #s(literal -1/32 binary64))) (*.f64 J (*.f64 J #s(literal 1/4 binary64)))))) J)
31.5%
(/.f64 (*.f64 (*.f64 J 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)
32.2%
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) J)
37.5%
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
38.2%
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) J) (/.f64 J U)) U)
32.3%
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
▶54.7%
(-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
13.1%
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))))
▶37.5%
(-.f64 #s(literal 0 binary64) U)
27.8%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
32.2%
(*.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 #s(literal -2 binary64) (*.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)))))
53.8%
(*.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))))))
▶33.0%
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
31.3%
(*.f64 (-.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) (+.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 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
11.0%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))))))
✓27.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
▶8.5%
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
✓89.5%
(*.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))))))
✓74.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
49.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
✓55.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
11.3%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
6.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)))
19.1%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
▶8.9%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
✓53.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓29.9%
(*.f64 #s(literal -2 binary64) J)
✓13.5%
U
Compiler

Compiled 1222 to 766 computations (37.3% saved)

simplify168.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓cost-diff0
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) J)
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
✓cost-diff512
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))
✓cost-diff512
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U)))))
✓cost-diff640
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff128
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))
✓cost-diff128
(*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64)))
✓cost-diff128
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Rules
4168×*-lowering-*.f32
4168×*-lowering-*.f64
1514×sum3-define
1340×fma-define
1000×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049402
1130373
2446348
31884341
45568331
08806331
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (* J -2) (cos (/ K 2))) (/ (* 1/4 (/ U (/ J U))) (cos (/ K 2))))
(* (* J -2) (cos (/ K 2)))
(* J -2)
J
-2
(cos (/ K 2))
(/ K 2)
K
2
(/ (* 1/4 (/ U (/ J U))) (cos (/ K 2)))
(* 1/4 (/ U (/ J U)))
1/4
(/ U (/ J U))
U
(/ J U)
(- 0 U)
0
U
(* (* -2 J) (* U (* (+ (/ 1/2 J) (/ J (* U U))) -1)))
(* -2 J)
-2
J
(* U (* (+ (/ 1/2 J) (/ J (* U U))) -1))
U
(* (+ (/ 1/2 J) (/ J (* U U))) -1)
(+ (/ 1/2 J) (/ J (* U U)))
(/ 1/2 J)
1/2
(/ J (* U U))
(* U U)
-1
(* (+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))) (- 0 U))
(+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))))
-1
(+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))
(/ (/ (* -2 (* J J)) U) U)
(/ (* -2 (* J J)) U)
(* -2 (* J J))
-2
(* J J)
J
U
(/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))
(* 2 (* (* J J) (* J J)))
2
(* (* J J) (* J J))
(* (* U U) (* U U))
(* U U)
(- 0 U)
0
(* (/ 1 J) (+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K)))))
(/ 1 J)
1
J
(+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K))))
(* (cos (* 1/2 K)) (* -2 (* J J)))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 (* J J))
-2
(* J J)
(/ (* U (* U -1/4)) (cos (* 1/2 K)))
(* U (* U -1/4))
U
(* U -1/4)
-1/4
Outputs
(- (* (* J -2) (cos (/ K 2))) (/ (* 1/4 (/ U (/ J U))) (cos (/ K 2))))
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (* J -2) (cos (/ K 2)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* J -2)
(*.f64 J #s(literal -2 binary64))
J
-2
#s(literal -2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(/ (* 1/4 (/ U (/ J U))) (cos (/ K 2)))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* 1/4 (/ U (/ J U)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) J)
1/4
#s(literal 1/4 binary64)
(/ U (/ J U))
(/.f64 U (/.f64 J U))
U
(/ J U)
(/.f64 J U)
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(* (* -2 J) (* U (* (+ (/ 1/2 J) (/ J (* U U))) -1)))
(*.f64 #s(literal -2 binary64) (*.f64 J (+.f64 (/.f64 J (-.f64 #s(literal 0 binary64) U)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(* U (* (+ (/ 1/2 J) (/ J (* U U))) -1))
(+.f64 (/.f64 J (-.f64 #s(literal 0 binary64) U)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
U
(* (+ (/ 1/2 J) (/ J (* U U))) -1)
(-.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 J (*.f64 U U)))
(+ (/ 1/2 J) (/ J (* U U)))
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
1/2
#s(literal 1/2 binary64)
(/ J (* U U))
(/.f64 J (*.f64 U U))
(* U U)
(*.f64 U U)
-1
#s(literal -1 binary64)
(* (+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))) (- 0 U))
(*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U))))))
(+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)))))
-1
#s(literal -1 binary64)
(+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))
(*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U))))
(/ (/ (* -2 (* J J)) U) U)
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))
(/ (* -2 (* J J)) U)
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)
(* -2 (* J J))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
-2
#s(literal -2 binary64)
(* J J)
(*.f64 J J)
J
U
(/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))
(/.f64 (*.f64 J (*.f64 J (*.f64 #s(literal 2 binary64) (*.f64 J J)))) (*.f64 U (*.f64 U (*.f64 U U))))
(* 2 (* (* J J) (* J J)))
(*.f64 J (*.f64 J (*.f64 #s(literal 2 binary64) (*.f64 J J))))
2
#s(literal 2 binary64)
(* (* J J) (* J J))
(*.f64 J (*.f64 J (*.f64 J J)))
(* (* U U) (* U U))
(*.f64 U (*.f64 U (*.f64 U U)))
(* U U)
(*.f64 U U)
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
(* (/ 1 J) (+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K)))))
(+.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)))))
(/ 1 J)
(/.f64 #s(literal 1 binary64) J)
1
#s(literal 1 binary64)
J
(+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* (cos (* 1/2 K)) (* -2 (* J J)))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* -2 (* J J))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
-2
#s(literal -2 binary64)
(* J J)
(*.f64 J J)
(/ (* U (* U -1/4)) (cos (* 1/2 K)))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* U (* U -1/4))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
U
(* U -1/4)
(*.f64 U #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)

localize215.0ms (2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 J J))
✓accuracy99.9%
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓accuracy72.3%
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓accuracy94.9%
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
✓accuracy89.1%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)
✓accuracy75.4%
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))
✓accuracy73.1%
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U)))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy89.6%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
✓accuracy86.4%
(/.f64 J (*.f64 U U))
✓accuracy86.3%
(*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
✓accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.7%
(/.f64 U (/.f64 J U))
Results
140.0ms256×0valid
Compiler

Compiled 414 to 50 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 34.0ms (45.7% of total)
ival-div: 18.0ms (24.2% of total)
ival-cos: 13.0ms (17.5% of total)
ival-add: 6.0ms (8.1% of total)
ival-sub: 2.0ms (2.7% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
24 → 552
Calls
Call 1
Inputs
#<alt (- (* (* J -2) (cos (/ K 2))) (/ (* 1/4 (/ U (/ J U))) (cos (/ K 2))))>
#<alt (* (* J -2) (cos (/ K 2)))>
#<alt (* J -2)>
#<alt (cos (/ K 2))>
#<alt (- 0 U)>
#<alt (* (* -2 J) (* U (* (+ (/ 1/2 J) (/ J (* U U))) -1)))>
#<alt (* U (* (+ (/ 1/2 J) (/ J (* U U))) -1))>
#<alt (* (+ (/ 1/2 J) (/ J (* U U))) -1)>
#<alt (* -2 J)>
#<alt (* (+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))) (- 0 U))>
#<alt (+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))))>
#<alt (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))>
#<alt (/ (/ (* -2 (* J J)) U) U)>
#<alt (* (/ 1 J) (+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K)))))>
#<alt (/ 1 J)>
#<alt (+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K))))>
#<alt (* (cos (* 1/2 K)) (* -2 (* J J)))>
#<alt (/ U (/ J U))>
#<alt (/ (* 1/4 (/ U (/ J U))) (cos (/ K 2)))>
#<alt (/ J (* U U))>
#<alt (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))>
#<alt (/ (* -2 (* J J)) U)>
#<alt (/ (* U (* U -1/4)) (cos (* 1/2 K)))>
#<alt (* -2 (* J J))>
Outputs
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<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)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<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 (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (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 (- (* -2 J) (* 1/4 (/ (pow U 2) J)))>
#<alt (- (+ (* -2 J) (* (pow K 2) (- (* 1/4 J) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))>
#<alt (- (+ (* -2 J) (* (pow K 2) (- (+ (* 1/4 J) (* (pow K 2) (- (* -1/192 J) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))>
#<alt (- (+ (* -2 J) (* (pow K 2) (- (+ (* 1/4 J) (* (pow K 2) (- (+ (* -1/192 J) (* (pow K 2) (- (* 1/23040 J) (* -1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))>
#<alt (- (* -2 (* J (cos (* 1/2 K)))) (* 1/4 (/ (pow U 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)))) (* 1/4 (/ (pow U 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)))) (* 1/4 (/ (pow U 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)))) (* 1/4 (/ (pow U 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))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -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 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt U>
#<alt (+ U (* 2 (/ (pow J 2) U)))>
#<alt (+ U (* 2 (/ (pow J 2) U)))>
#<alt (+ U (* 2 (/ (pow J 2) U)))>
#<alt (* 2 (/ (pow J 2) U))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* 2 (/ (pow J 2) U))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* 2 (/ (pow J 2) U))>
#<alt (/ (+ (* 2 (pow J 2)) (pow U 2)) U)>
#<alt (/ (+ (* 2 (pow J 2)) (pow U 2)) U)>
#<alt (/ (+ (* 2 (pow J 2)) (pow U 2)) U)>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))>
#<alt (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))>
#<alt (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (/ J U))>
#<alt (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)>
#<alt (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)>
#<alt (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)>
#<alt (* -1/2 (/ U J))>
#<alt (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))>
#<alt (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))>
#<alt (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1/2 (/ U J))>
#<alt (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)>
#<alt (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)>
#<alt (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)>
#<alt (* -1 (/ J U))>
#<alt (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))>
#<alt (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))>
#<alt (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))>
#<alt (* -1 (/ J U))>
#<alt (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))>
#<alt (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))>
#<alt (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))>
#<alt (/ -1/2 J)>
#<alt (/ (- (* -1 (/ (pow J 2) (pow U 2))) 1/2) J)>
#<alt (/ (- (* -1 (/ (pow J 2) (pow U 2))) 1/2) J)>
#<alt (/ (- (* -1 (/ (pow J 2) (pow U 2))) 1/2) J)>
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#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) J))>
#<alt (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) J)) (* 1/4 (/ (pow U 2) J)))>
#<alt (+ (* 1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* 1/32 (/ (pow U 2) J)))))>
#<alt (+ (* 1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* 2 (/ (pow J 4) (pow U 4)))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (pow U 2))>
#<alt (+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
Calls

138 calls:

TimeVariablePointExpression
3.0ms
K
@0
(- (* (* J -2) (cos (/ K 2))) (/ (* 1/4 (/ U (/ J U))) (cos (/ K 2))))
2.0ms
U
@0
(/ J (* U U))
1.0ms
J
@0
(* (* -2 J) (* U (* (+ (/ 1/2 J) (/ J (* U U))) -1)))
1.0ms
U
@0
(* (* -2 J) (* U (* (+ (/ 1/2 J) (/ J (* U U))) -1)))
1.0ms
U
@0
(* (+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))) (- 0 U))

rewrite323.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3872×*-lowering-*.f32
3872×*-lowering-*.f64
2686×/-lowering-/.f32
2686×/-lowering-/.f64
2474×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049278
1290252
23197246
08254246
Stop Event
1×iter limit
1×node limit
Counts
24 → 640
Calls
Call 1
Inputs
(- (* (* J -2) (cos (/ K 2))) (/ (* 1/4 (/ U (/ J U))) (cos (/ K 2))))
(* (* J -2) (cos (/ K 2)))
(* J -2)
(cos (/ K 2))
(- 0 U)
(* (* -2 J) (* U (* (+ (/ 1/2 J) (/ J (* U U))) -1)))
(* U (* (+ (/ 1/2 J) (/ J (* U U))) -1))
(* (+ (/ 1/2 J) (/ J (* U U))) -1)
(* -2 J)
(* (+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))) (- 0 U))
(+ -1 (+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))))
(+ (/ (/ (* -2 (* J J)) U) U) (/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U))))
(/ (/ (* -2 (* J J)) U) U)
(* (/ 1 J) (+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K)))))
(/ 1 J)
(+ (* (cos (* 1/2 K)) (* -2 (* J J))) (/ (* U (* U -1/4)) (cos (* 1/2 K))))
(* (cos (* 1/2 K)) (* -2 (* J J)))
(/ U (/ J U))
(/ (* 1/4 (/ U (/ J U))) (cos (/ K 2)))
(/ J (* U U))
(/ (* 2 (* (* J J) (* J J))) (* (* U U) (* U U)))
(/ (* -2 (* J J)) U)
(/ (* U (* U -1/4)) (cos (* 1/2 K)))
(* -2 (* J J))
Outputs
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (+.f64 (*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(+.f64 (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (+.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U)))) (+.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (neg.f64 (/.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))))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (/.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))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) (+.f64 (*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
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(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U)))
(*.f64 (/.f64 (*.f64 J (*.f64 (*.f64 J (*.f64 J J)) #s(literal 2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) U) U))
(*.f64 (/.f64 (*.f64 J (*.f64 J (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) (pow.f64 (/.f64 U (*.f64 J (*.f64 (*.f64 J (*.f64 J J)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 J (*.f64 J (*.f64 J J))) (*.f64 U (*.f64 U U))))
(*.f64 (/.f64 (*.f64 J (*.f64 J (*.f64 J J))) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 2 binary64) U))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J (*.f64 J J))) U))
(*.f64 (/.f64 (*.f64 J (*.f64 J (*.f64 J J))) U) (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)) (/.f64 (*.f64 J J) (*.f64 U U)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 J J) U))
(*.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J J))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J J)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 U #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J (*.f64 J J)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J (*.f64 J J)))) #s(literal -1 binary64)) (pow.f64 (/.f64 U #s(literal 2 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 2 binary64) (*.f64 J J))) #s(literal -1 binary64)) (/.f64 (*.f64 J J) U))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 J (*.f64 J #s(literal -2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 J (*.f64 J #s(literal -2 binary64))))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J #s(literal -2 binary64)))))
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(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (-.f64 #s(literal 0 binary64) U))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64)) U)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J))) (neg.f64 (-.f64 #s(literal 0 binary64) U)))
(pow.f64 (/.f64 U (*.f64 J (*.f64 J #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J U))
(*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U))
(*.f64 (*.f64 J J) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U) U)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 J (*.f64 J #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))) (*.f64 U U))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))))
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(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 U U) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 U (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(*.f64 (*.f64 J #s(literal -2 binary64)) J)
(*.f64 (*.f64 J J) #s(literal -2 binary64))

simplify314.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
5358×*-lowering-*.f32
5358×*-lowering-*.f64
2948×+-lowering-+.f64
2948×+-lowering-+.f32
1632×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03706553
112716450
248906416
086846416
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -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)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -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 (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(- (* -2 J) (* 1/4 (/ (pow U 2) J)))
(- (+ (* -2 J) (* (pow K 2) (- (* 1/4 J) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))
(- (+ (* -2 J) (* (pow K 2) (- (+ (* 1/4 J) (* (pow K 2) (- (* -1/192 J) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))
(- (+ (* -2 J) (* (pow K 2) (- (+ (* 1/4 J) (* (pow K 2) (- (+ (* -1/192 J) (* (pow K 2) (- (* 1/23040 J) (* -1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))
(- (* -2 (* J (cos (* 1/2 K)))) (* 1/4 (/ (pow U 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)))) (* 1/4 (/ (pow U 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)))) (* 1/4 (/ (pow U 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)))) (* 1/4 (/ (pow U 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))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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(* -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))))
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(* -2 J)
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(* -2 J)
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1
(+ 1 (* -1/8 (pow K 2)))
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* -1 U)
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(* -1 U)
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(* -1 U)
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(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
U
(+ U (* 2 (/ (pow J 2) U)))
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(+ U (* 2 (/ (pow J 2) U)))
(* 2 (/ (pow J 2) U))
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))
(* 2 (/ (pow J 2) U))
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))
(* 2 (/ (pow J 2) U))
(/ (+ (* 2 (pow J 2)) (pow U 2)) U)
(/ (+ (* 2 (pow J 2)) (pow U 2)) U)
(/ (+ (* 2 (pow J 2)) (pow U 2)) U)
U
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
U
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (/ J U))
(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)
(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)
(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)
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(* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))
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(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
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(/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)
(/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)
(/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)
(* -1 (/ J U))
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(/ (- (* -1 (/ (pow J 2) (pow U 2))) 1/2) J)
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(* -1 (/ J (pow U 2)))
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(* -1 (* J (+ (* 1/2 (/ 1 (pow J 2))) (/ 1 (pow U 2)))))
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(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) (pow U 2))
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(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) (pow U 2))
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(* -2 J)
(* -2 J)
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U
(+ U (* 2 (/ (pow J 2) U)))
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(+ U (* (pow J 2) (+ (* -2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(* -2 (/ (pow J 4) (pow U 3)))
(* (pow J 4) (- (* 2 (/ 1 (* (pow J 2) U))) (* 2 (/ 1 (pow U 3)))))
(* (pow J 4) (- (+ (/ 2 (* (pow J 2) U)) (/ U (pow J 4))) (* 2 (/ 1 (pow U 3)))))
(* (pow J 4) (- (+ (/ 2 (* (pow J 2) U)) (/ U (pow J 4))) (* 2 (/ 1 (pow U 3)))))
(* -2 (/ (pow J 4) (pow U 3)))
(* (pow J 4) (- (* 2 (/ 1 (* (pow J 2) U))) (* 2 (/ 1 (pow U 3)))))
(* (pow J 4) (- (+ (/ 2 (* (pow J 2) U)) (/ U (pow J 4))) (* 2 (/ 1 (pow U 3)))))
(* (pow J 4) (- (+ (/ 2 (* (pow J 2) U)) (/ U (pow J 4))) (* 2 (/ 1 (pow U 3)))))
(* -2 (/ (pow J 4) (pow U 3)))
(/ (+ (* -2 (pow J 4)) (* 2 (* (pow J 2) (pow U 2)))) (pow U 3))
(/ (+ (* -2 (pow J 4)) (* (pow U 2) (+ (* 2 (pow J 2)) (pow U 2)))) (pow U 3))
(/ (+ (* -2 (pow J 4)) (* (pow U 2) (+ (* 2 (pow J 2)) (pow U 2)))) (pow U 3))
U
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
(* U (+ 1 (+ (* -2 (/ (pow J 4) (pow U 4))) (* 2 (/ (pow J 2) (pow U 2))))))
(* U (+ 1 (+ (* -2 (/ (pow J 4) (pow U 4))) (* 2 (/ (pow J 2) (pow U 2))))))
U
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(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
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(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
Outputs
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))
(/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 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)
(/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 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)
(/ (- (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* 1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 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)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.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)))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.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)))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))
(- (* -2 J) (* 1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(- (+ (* -2 J) (* (pow K 2) (- (* 1/4 J) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
(- (+ (* -2 J) (* (pow K 2) (- (+ (* 1/4 J) (* (pow K 2) (- (* -1/192 J) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -5/1536 binary64)) J)))))))
(- (+ (* -2 J) (* (pow K 2) (- (+ (* 1/4 J) (* (pow K 2) (- (+ (* -1/192 J) (* (pow K 2) (- (* 1/23040 J) (* -1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))) (* 1/32 (/ (pow U 2) J))))) (* 1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/23040 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64))))))) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -5/1536 binary64)) J)))) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 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 J #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K))))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K #s(literal -1/46080 binary64))))))))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
U
(+ U (* 2 (/ (pow J 2) U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(+ U (* 2 (/ (pow J 2) U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(+ U (* 2 (/ (pow J 2) U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(* 2 (/ (pow J 2) U))
(*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
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(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))
(*.f64 (*.f64 U U) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal -1/32 binary64))))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) (*.f64 K (*.f64 K (*.f64 (*.f64 U U) #s(literal -5/1536 binary64)))))))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))
(+.f64 (*.f64 (*.f64 U U) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal -1/32 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 U U) #s(literal -5/1536 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 U U) #s(literal -5/3072 binary64)) (*.f64 (*.f64 U U) #s(literal 7/23040 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) (*.f64 (*.f64 K K) (*.f64 K K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))

eval171.0ms (1.6%)

Compiler

Compiled 39506 to 2652 computations (93.3% saved)

prune147.0ms (1.3%)

Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New1243131256
Fresh51116
Picked415
Done077
Total1252321284
Accuracy
100.0%
Counts
1284 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.5%
(/.f64 (*.f64 (*.f64 J 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)
32.2%
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) J)
37.5%
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
38.2%
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) J) (/.f64 J U)) U)
32.3%
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
✓54.7%
(-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
25.6%
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
27.8%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
14.3%
(+.f64 U (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U)) U))))
13.2%
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
32.2%
(*.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 #s(literal -2 binary64) (*.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)))))
53.8%
(*.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))))))
33.0%
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
16.1%
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))
32.2%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 J #s(literal -2 binary64)))))
31.2%
(*.f64 (-.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U)))) (+.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
11.0%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))))))
✓27.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
11.0%
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U)
✓89.5%
(*.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))))))
✓74.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
49.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
✓55.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
2.6%
(*.f64 (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) (/.f64 J U)))
6.3%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
11.3%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal -1/2 binary64) J)))
19.1%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
✓53.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
2.6%
(*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
✓29.9%
(*.f64 #s(literal -2 binary64) J)
37.5%
(neg.f64 U)
✓13.5%
U
Compiler

Compiled 1756 to 713 computations (59.4% saved)

regimes109.0ms (1%)

Counts
50 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) (/.f64 J U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 U (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U)) U))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 K K) (+.f64 (*.f64 U (*.f64 U #s(literal -1/32 binary64))) (*.f64 J (*.f64 J #s(literal 1/4 binary64)))))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) J)
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 J #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) J) (/.f64 J 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 #s(literal 1/2 binary64) (/.f64 U J))))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))) U)
(+.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))))
(-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 (*.f64 J 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)
(*.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 (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 #s(literal -2 binary64) (*.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 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 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) (+.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 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (-.f64 (*.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)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U)))) (+.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #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))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
U
Calls

6 calls:

18.0ms
U
17.0ms
J
17.0ms
K
17.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms
(*.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
91.7%2J
89.5%1K
92.1%2U
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
89.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
89.5%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes21.0ms (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 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) (/.f64 J U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 U (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U)) U))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 K K) (+.f64 (*.f64 U (*.f64 U #s(literal -1/32 binary64))) (*.f64 J (*.f64 J #s(literal 1/4 binary64)))))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) J)
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 J #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) J) (/.f64 J 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 #s(literal 1/2 binary64) (/.f64 U J))))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))) U)
(+.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))))
(-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 (*.f64 J 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)
(*.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 (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 #s(literal -2 binary64) (*.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 U)
Calls

1 calls:

16.0ms
U
Results
AccuracySegmentsBranch
92.1%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes335.0ms (3%)

Counts
42 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) (/.f64 J U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 U (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U)) U))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 K K) (+.f64 (*.f64 U (*.f64 U #s(literal -1/32 binary64))) (*.f64 J (*.f64 J #s(literal 1/4 binary64)))))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) J)
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 J #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) J) (/.f64 J 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 #s(literal 1/2 binary64) (/.f64 U J))))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U))) U)
(+.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))))
(-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 J U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 (*.f64 J 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)
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
Calls

5 calls:

260.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
29.0ms
K
15.0ms
J
15.0ms
U
12.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
74.6%1K
74.6%1(/.f64 K #s(literal 2 binary64))
74.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
81.5%2J
78.6%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes63.0ms (0.6%)

Counts
33 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) (/.f64 J U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 U (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U)) U))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 K K) (+.f64 (*.f64 U (*.f64 U #s(literal -1/32 binary64))) (*.f64 J (*.f64 J #s(literal 1/4 binary64)))))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) J)
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 J #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) J) (/.f64 J U)) U)
Outputs
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
Calls

5 calls:

15.0ms
K
13.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
J
10.0ms
U
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
71.4%2K
75.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
71.4%2(/.f64 K #s(literal 2 binary64))
71.7%3U
72.5%2J
Compiler

Compiled 25 to 20 computations (20% saved)

regimes13.0ms (0.1%)

Counts
26 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) (/.f64 J U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 U (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U)) U))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 K K) (+.f64 (*.f64 U (*.f64 U #s(literal -1/32 binary64))) (*.f64 J (*.f64 J #s(literal 1/4 binary64)))))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Outputs
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Calls

1 calls:

9.0ms
J
Results
AccuracySegmentsBranch
72.5%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts
25 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) (/.f64 J U)))
(+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 U (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U)) U))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))))) U)
(+.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/32 binary64)) J)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 K K) (+.f64 (*.f64 U (*.f64 U #s(literal -1/32 binary64))) (*.f64 J (*.f64 J #s(literal 1/4 binary64)))))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 U U) (*.f64 U U))))) (-.f64 #s(literal 0 binary64) U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (/.f64 J U) (*.f64 (/.f64 (*.f64 U U) J) U))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
Outputs
(*.f64 #s(literal -2 binary64) J)
(neg.f64 U)
Calls

3 calls:

9.0ms
K
8.0ms
J
8.0ms
U
Results
AccuracySegmentsBranch
51.7%2U
43.7%4K
50.8%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

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

3 calls:

3.0ms
J
2.0ms
U
2.0ms
K
Results
AccuracySegmentsBranch
37.5%1K
37.5%1J
37.5%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
J
1.0ms
U
1.0ms
K
Results
AccuracySegmentsBranch
13.5%1U
13.5%1J
13.5%1K
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.392212369227164e+305
+inf
0.0ms
-inf
-2.6162375729764086e+307
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.1431035822732402e+212
4.122886772052906e+212
Results
12.0ms80×0valid
Compiler

Compiled 188 to 127 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.6% of total)
ival-cos: 2.0ms (25.8% of total)
ival-div: 1.0ms (12.9% of total)
ival-sqrt: 1.0ms (12.9% of total)
ival-pow: 1.0ms (12.9% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
3.9008017278391404e-100
4.317011120444532e-93
Results
22.0ms144×0valid
Compiler

Compiled 267 to 211 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (47.5% of total)
ival-cos: 3.0ms (17.8% of total)
ival-div: 2.0ms (11.9% of total)
ival-pow: 2.0ms (11.9% of total)
ival-add: 1.0ms (5.9% of total)
ival-sqrt: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7814523576748098
0.787387601673954
0.0ms
-0.6559751040678922
-0.6550531912258286
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
5.869631814974134e-80
6.816641358270212e-77
Results
18.0ms128×0valid
Compiler

Compiled 177 to 142 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (28.7% of total)
ival-mult: 4.0ms (28.7% of total)
ival-cos: 3.0ms (21.6% of total)
ival-add: 1.0ms (7.2% of total)
ival-sqrt: 1.0ms (7.2% of total)
ival-pow: 1.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
3.4902881889570936e-110
5.559177635634095e-110
Results
11.0ms64×0valid
Compiler

Compiled 85 to 66 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.7% of total)
ival-div: 1.0ms (16.8% of total)
ival-cos: 1.0ms (16.8% of total)
ival-pow: 1.0ms (16.8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
6×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060198
181198
283198
384198
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 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 U #s(literal 139999999999999998555815524542859600234863024405842918079248288865442316830558153440406449365925928318328699347486884942144551399845657547175681584832865139134689827987120296701881079846718250081911106636601098240 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 U))
(if (<=.f64 J #s(literal 492525077454931/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (neg.f64 U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -184506847233835/281474976710656 binary64)) (+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7070651414971679/9007199254740992 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(if (<=.f64 J #s(literal 3170605756445101/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 U #s(literal 4315373364262743/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(neg.f64 U)
U
Outputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 0 binary64) U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) U))
(if (<=.f64 U #s(literal 139999999999999998555815524542859600234863024405842918079248288865442316830558153440406449365925928318328699347486884942144551399845657547175681584832865139134689827987120296701881079846718250081911106636601098240 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 U))
(if (<=.f64 U #s(literal 139999999999999998555815524542859600234863024405842918079248288865442316830558153440406449365925928318328699347486884942144551399845657547175681584832865139134689827987120296701881079846718250081911106636601098240 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 J #s(literal 492525077454931/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (neg.f64 U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
(if (<=.f64 J #s(literal 492525077454931/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (-.f64 #s(literal 0 binary64) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -184506847233835/281474976710656 binary64)) (+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7070651414971679/9007199254740992 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -184506847233835/281474976710656 binary64)) (+.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) U)))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7070651414971679/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(if (<=.f64 J #s(literal 3170605756445101/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 3170605756445101/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (-.f64 #s(literal 0 binary64) U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (<=.f64 U #s(literal 4315373364262743/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(if (<=.f64 U #s(literal 4315373364262743/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) U))
(neg.f64 U)
(-.f64 #s(literal 0 binary64) U)
U

soundness1.7s (15.5%)

Rules
6832×+-lowering-+.f64
6832×+-lowering-+.f32
6680×*-lowering-*.f32
6680×*-lowering-*.f64
6494×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04275623
114165545
253395533
081125533
01724
13321
27821
320421
461221
5112621
6154521
7160721
8162521
9164321
10165121
11165321
12165321
0165321
090512272
1334411862
0841211862
03896668
113706334
258746304
085776304
03706553
112716450
248906416
086846416
049278
1290252
23197246
08254246
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 533 to 301 computations (43.5% saved)

preprocess109.0ms (1%)

Remove

(negabs J)

(abs K)

Compiler

Compiled 1828 to 554 computations (69.7% saved)

end0.0ms (0%)

Profiling

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