Maksimov and Kolovsky, Equation (3)

Time bar (total: 11.9s)

analyze369.0ms (3.1%)

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: 181.0ms
ival-mult: 80.0ms (44.2% of total)
ival-div: 28.0ms (15.5% of total)
ival-pow: 27.0ms (14.9% of total)
ival-sqrt: 16.0ms (8.8% of total)
ival-cos: 14.0ms (7.7% of total)
ival-add: 12.0ms (6.6% of total)
const: 5.0ms (2.8% of total)
backward-pass: 1.0ms (0.6% of total)

sample2.2s (18.7%)

Results
1.8s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 498.0ms (41% of total)
ival-cos: 219.0ms (18% of total)
ival-div: 198.0ms (16.3% of total)
ival-sqrt: 139.0ms (11.4% of total)
ival-pow: 92.0ms (7.6% of total)
ival-add: 46.0ms (3.8% of total)
const: 19.0ms (1.6% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess116.0ms (1%)

Algorithm
2×egg-herbie
Rules
1106×sum3-define
936×distribute-lft-neg-in
852×*-lowering-*.f32
852×*-lowering-*.f64
776×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1192210
2648210
32296210
44539210
01724
13321
27921
320621
461921
5112121
6153421
7160221
8163721
9167221
10168921
11169321
12169321
0169321
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 J) 1/2) (cos (/ K 2)))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* -2 (* (hypot 1 (/ U (* (cos (/ J 2)) (* K 2)))) (* K (cos (/ J 2)))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* -2 (* (hypot 1 (/ (/ (/ J 2) U) (cos (/ K 2)))) (* (cos (/ K 2)) U)))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))
(* -2 (* (hypot 1 (/ K (* (* J 2) (cos (* U 1/2))))) (* J (cos (* U 1/2)))))
Symmetry

(abs K)

(abs U)

(negabs J)

explain274.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
510-0-(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))))
330-0-(*.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
069(9.105831085461886e+121 1.5232144092420915e+81 5.263509489285288e+226)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)
0118(8.2614837828576e-304 1.4591809661313522e+248 4.125159495585967e+215)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
183.0ms512×0valid
Compiler

Compiled 255 to 53 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-cos: 39.0ms (47.7% of total)
ival-mult: 22.0ms (26.9% of total)
ival-div: 7.0ms (8.6% of total)
ival-pow: 6.0ms (7.3% of total)
ival-sqrt: 4.0ms (4.9% of total)
ival-add: 3.0ms (3.7% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
▶68.9%
(*.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)

simplify68.0ms (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-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓cost-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))))
Rules
852×*-lowering-*.f32
852×*-lowering-*.f64
820×associate-*r/
758×/-lowering-/.f32
758×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025177
155177
2108177
3307177
4795177
51307177
61564177
71844177
82123177
92197177
102197177
112337177
122337177
02337177
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 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/ U (* (* 2 J) (cos (/ K 2))))
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(* (* 2 J) (cos (/ K 2)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(/ (/ U (* J 2)) (cos (/ K 2)))
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ U (* J 2))
(/.f64 (/.f64 U J) #s(literal 2 binary64))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))

localize157.0ms (1.3%)

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)))))
✓accuracy99.9%
(*.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))))
✓accuracy87.9%
(*.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))))))
✓accuracy99.9%
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy99.7%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy87.9%
(*.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)))))
✓accuracy81.4%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
Results
114.0ms256×0valid
Compiler

Compiled 189 to 23 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 22.0ms (42.4% of total)
ival-div: 7.0ms (13.5% of total)
compiled-spec: 7.0ms (13.5% of total)
ival-cos: 6.0ms (11.6% of total)
ival-sqrt: 4.0ms (7.7% of total)
ival-add: 3.0ms (5.8% of total)
ival-pow: 3.0ms (5.8% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series58.0ms (0.5%)

Counts
10 → 300
Calls
Call 1
Inputs
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))>
#<alt (cos (/ K 2))>
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)>
#<alt (/ U (* (* 2 J) (cos (/ K 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>
#<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))))))>
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#<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 (* 1/2 (/ 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

75 calls:

TimeVariablePointExpression
15.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
K
@0
(* (* -2 J) (cos (/ K 2)))
3.0ms
K
@-inf
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
2.0ms
K
@0
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
2.0ms
K
@inf
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))

rewrite366.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
5352×*-lowering-*.f32
5352×*-lowering-*.f64
2678×/-lowering-/.f32
2678×/-lowering-/.f64
1374×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025112
192112
2660112
35841112
09057112
Stop Event
1×iter limit
1×node limit
Counts
10 → 850
Calls
Call 1
Inputs
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(cos (/ K 2))
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ U (* (* 2 J) (cos (/ K 2))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #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)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
(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 1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))))))
(neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 #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 #s(literal 2 binary64) J))))))
(*.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 #s(literal 2 binary64) J)))))))
(*.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 #s(literal 2 binary64) J)))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (*.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 #s(literal 2 binary64) J)))))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (*.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 #s(literal 2 binary64) J))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64) J))))))
(*.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 #s(literal 2 binary64) J)))))
(*.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 #s(literal 2 binary64) J))))))
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(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U J)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) J))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #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)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
(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 1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 #s(literal 4 binary64) (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/2 binary64))

simplify365.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
6642×*-lowering-*.f32
6642×*-lowering-*.f64
1822×/-lowering-/.f32
1822×/-lowering-/.f64
1780×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03897079
113706074
258785827
085655827
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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Outputs
1
#s(literal 1 binary64)
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(+ 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)))))))
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(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(*.f64 U (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (-.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U (*.f64 U (*.f64 K K)))) (*.f64 J J))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+.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 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 K 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 #s(literal -1/32 binary64) (*.f64 U U)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 J J) (+.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 (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)))))

eval214.0ms (1.8%)

Compiler

Compiled 37210 to 4279 computations (88.5% saved)

prune167.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1280101290
Fresh000
Picked112
Done000
Total1281111292
Accuracy
100.0%
Counts
1292 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) U)
38.4%
(-.f64 #s(literal 0 binary64) U)
▶11.2%
(*.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))))))
49.2%
(*.f64 (+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
▶87.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
49.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓87.8%
(*.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))))))
▶74.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
35.0%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
▶55.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
▶12.0%
U
Compiler

Compiled 406 to 289 computations (28.8% saved)

simplify187.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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) (*.f64 U U))))
✓cost-diff0
(+.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)))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff128
(*.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))))))
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓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 J #s(literal -2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Rules
3498×*-lowering-*.f32
3498×*-lowering-*.f64
2214×/-lowering-/.f32
2214×/-lowering-/.f64
1708×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043255
1115243
2349242
31380242
45293242
08047242
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))
(* -2 J)
-2
J
(/ 1 (/ 1 (cos (/ K 2))))
1
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(/ U (* J 2))
U
(* J 2)
U
(* (cos (* 1/2 K)) (* J -2))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* J -2)
J
-2
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
1
(/ (* U 1/2) J)
(* U 1/2)
U
1/2
(* (- 0 U) (+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))))
(- 0 U)
0
U
(+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))))
-1
(* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))
-2
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
(/ (* J J) (* U U))
(* J J)
J
(* U U)
Outputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(/ 1 (/ 1 (cos (/ K 2))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (cos (/ K 2)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
U
(* (cos (* 1/2 K)) (* J -2))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J #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 1/2) J) (/ (* U 1/2) J))))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (* U 1/2) J)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(* U 1/2)
(/.f64 U #s(literal 2 binary64))
U
1/2
#s(literal 1/2 binary64)
(* (- 0 U) (+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))))
(*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))))
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))))
-1
#s(literal -1 binary64)
(* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))
-2
#s(literal -2 binary64)
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) U)) U)
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
2
#s(literal 2 binary64)
(/ (* J J) (* U U))
(/.f64 (/.f64 (*.f64 J J) U) U)
(* J J)
(*.f64 J J)
J
(* U U)
(*.f64 U U)

localize238.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
✓accuracy99.7%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy93.7%
(*.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))))))
✓accuracy79.7%
(/.f64 (*.f64 J J) (*.f64 U U))
✓accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
✓accuracy99.9%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy87.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (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))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy87.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Results
177.0ms256×0valid
Compiler

Compiled 287 to 39 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 31.0ms (37.8% of total)
compiled-spec: 14.0ms (17.1% of total)
ival-div: 13.0ms (15.9% of total)
ival-cos: 11.0ms (13.4% of total)
ival-add: 4.0ms (4.9% of total)
ival-sqrt: 4.0ms (4.9% of total)
ival-pow: 3.0ms (3.7% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
21 → 480
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (cos (/ K 2))))>
#<alt (* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))>
#<alt (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))>
#<alt (* -2 J)>
#<alt (* (cos (* 1/2 K)) (* J -2))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* J -2)>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (* (- 0 U) (+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))))>
#<alt (- 0 U)>
#<alt (+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))))>
#<alt (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))>
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))>
#<alt (/ 1 (cos (/ K 2)))>
#<alt (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))>
#<alt (/ (* J J) (* U U))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 U)>
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#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 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 K 2)))>
#<alt (+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))>
#<alt (+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow 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 (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))>
#<alt (+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))>
#<alt (+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))>
Calls

120 calls:

TimeVariablePointExpression
7.0ms
U
@0
(* (- 0 U) (+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))))
3.0ms
U
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
2.0ms
K
@inf
(/ 1 (cos (/ K 2)))
2.0ms
J
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
1.0ms
K
@-inf
(* (- 0 U) (+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))))

rewrite236.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
3000×/-lowering-/.f32
3000×/-lowering-/.f64
2960×*-lowering-*.f32
2960×*-lowering-*.f64
1128×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043177
1178165
21172164
36297164
08237164
Stop Event
1×iter limit
1×node limit
Counts
21 → 636
Calls
Call 1
Inputs
(/ 1 (/ 1 (cos (/ K 2))))
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))
(* -2 J)
(* (cos (* 1/2 K)) (* J -2))
(cos (* 1/2 K))
(* 1/2 K)
(* J -2)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(* (* -2 J) (cos (/ K 2)))
(cos (/ K 2))
(* (- 0 U) (+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))))
(- 0 U)
(+ -1 (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))))
(* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(/ 1 (cos (/ K 2)))
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
(/ (* J J) (* U U))
(pow (cos (* 1/2 K)) 2)
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))
Outputs
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1 binary64) (/.f64 K #s(literal -2 binary64))))
(cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) K)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))))
(neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 J #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)))
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(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (cos.f64 (-.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (/.f64 J (/.f64 U (/.f64 J U))) #s(literal 1/2 binary64)) (*.f64 (/.f64 J (/.f64 U (/.f64 J U))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 J (/.f64 U (/.f64 J U)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 J (/.f64 U (/.f64 J U)))))
(fma.f64 (/.f64 J (/.f64 U (/.f64 J U))) #s(literal 1/2 binary64) (*.f64 (/.f64 J (/.f64 U (/.f64 J U))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 U (/.f64 J U)) J))))
(neg.f64 (*.f64 (neg.f64 (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (neg.f64 (/.f64 J (/.f64 U (/.f64 J U))))))
(neg.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 U (/.f64 J U)) J)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)) (-.f64 #s(literal 0 binary64) (*.f64 U U))))
(neg.f64 (/.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64))) (*.f64 U U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 J J)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 (/.f64 U (/.f64 J U)) J))
(/.f64 (/.f64 J (/.f64 U (/.f64 J U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)) (*.f64 U U))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 U (/.f64 J U)) J)))
(/.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 U U)))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (/.f64 U (*.f64 J J)))
(/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (/.f64 U (/.f64 J U)))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U J)) (/.f64 U J))
(/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 U (/.f64 J U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 J J))) U)
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 J J)))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(/.f64 (/.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64))) U) (-.f64 #s(literal 0 binary64) U))
(/.f64 (/.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 U U))
(pow.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U J)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (/.f64 (/.f64 U (/.f64 J U)) J)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 J U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 U (/.f64 J U)) J)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J)) (*.f64 U U)))
(*.f64 J (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 J (*.f64 U U))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 J (/.f64 U (/.f64 J U))))
(*.f64 (*.f64 J J) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 U U))))
(*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 U U)))
(*.f64 (/.f64 J (/.f64 U (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(*.f64 (*.f64 J (-.f64 #s(literal 0 binary64) J)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 U U))))
(*.f64 (/.f64 J U) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U J)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (/.f64 J (/.f64 U J)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U))
(*.f64 (/.f64 J (*.f64 U U)) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 U U)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (/.f64 J (/.f64 U J)))
(*.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (/.f64 J (*.f64 U U)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U J)) (/.f64 J U))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 U (/.f64 J U)) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 J (*.f64 U U))) J)
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 J J))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 J J))) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 U U)) (*.f64 J J))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 U U))) (*.f64 J (-.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (/.f64 J U))) J)

simplify406.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
6636×*-lowering-*.f32
6636×*-lowering-*.f64
2464×+-lowering-+.f64
2464×+-lowering-+.f32
1482×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05597094
119436075
278625827
084645827
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(* -2 (/ (pow J 2) (pow U 2)))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2))))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2))))))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
1
(+ 1 (* 1/8 (pow K 2)))
(+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))
(+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
1
(+ 1 (* 1/8 (/ (pow 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))))))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(/ (pow J 2) (pow U 2))
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) U) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))))) (neg.f64 J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
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(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U))

eval191.0ms (1.6%)

Compiler

Compiled 29379 to 2990 computations (89.8% saved)

prune149.0ms (1.3%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1264121276
Fresh235
Picked325
Done011
Total1269181287
Accuracy
100.0%
Counts
1287 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.9%
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
73.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
36.6%
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) U)
11.9%
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
38.4%
(-.f64 #s(literal 0 binary64) U)
▶33.0%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
11.8%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
▶33.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
33.1%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
33.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
▶74.0%
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
49.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓87.8%
(*.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))))))
▶59.0%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓55.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
▶34.3%
(*.f64 #s(literal -2 binary64) J)
54.8%
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
✓12.0%
U
Compiler

Compiled 563 to 411 computations (27% saved)

simplify250.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(*.f64 (*.f64 K K) J)
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff128
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(/.f64 U (/.f64 J #s(literal 1/2 binary64)))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Rules
4172×+-lowering-+.f64
4172×+-lowering-+.f32
3254×*-lowering-*.f32
3254×*-lowering-*.f64
2408×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040218
1107205
2323204
3821204
41908204
54420204
66238204
76479204
86768204
96934204
107020204
08301204
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)) (cos (/ K 2)))
(* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
1
(/ U (/ J 1/2))
U
(/ J 1/2)
J
1/2
(* -2 J)
-2
(cos (/ K 2))
(/ K 2)
K
2
(* -2 J)
-2
J
(+ (* -2 J) (* 1/4 (* (* K K) J)))
(* -2 J)
-2
J
(* 1/4 (* (* K K) J))
1/4
(* (* K K) J)
(* K K)
K
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))) (* J -2))
(+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080))))))
1
(* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))
(* K K)
K
(+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080))))
-1/8
(* (* K K) (+ 1/384 (* (* K K) -1/46080)))
(+ 1/384 (* (* K K) -1/46080))
1/384
(* (* K K) -1/46080)
-1/46080
(* J -2)
J
-2
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(* -2 J)
-2
J
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
1
(/ (* U 1/2) J)
(* U 1/2)
U
1/2
Outputs
(* (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)) (cos (/ K 2)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))
(*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) #s(literal -2 binary64)))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
1
#s(literal 1 binary64)
(/ U (/ J 1/2))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(/ J 1/2)
(/.f64 J #s(literal 1/2 binary64))
J
1/2
#s(literal 1/2 binary64)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(+ (* -2 J) (* 1/4 (* (* K K) J)))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(* 1/4 (* (* K K) J))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
1/4
#s(literal 1/4 binary64)
(* (* K K) J)
(*.f64 J (*.f64 K K))
(* K K)
(*.f64 K K)
K
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))) (* J -2))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))) (*.f64 #s(literal -2 binary64) (*.f64 K K)))))
(+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))))
1
#s(literal 1 binary64)
(* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))
(* K K)
(*.f64 K K)
K
(+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080))))
(+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))
-1/8
#s(literal -1/8 binary64)
(* (* K K) (+ 1/384 (* (* K K) -1/46080)))
(*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))
(+ 1/384 (* (* K K) -1/46080))
(+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))
1/384
#s(literal 1/384 binary64)
(* (* K K) -1/46080)
(*.f64 (*.f64 K K) #s(literal -1/46080 binary64))
-1/46080
#s(literal -1/46080 binary64)
(* J -2)
(*.f64 J #s(literal -2 binary64))
J
-2
#s(literal -2 binary64)
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) #s(literal -2 binary64)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
1
#s(literal 1 binary64)
(/ (* U 1/2) J)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(* U 1/2)
(*.f64 U #s(literal 1/2 binary64))
U
1/2
#s(literal 1/2 binary64)

localize280.0ms (2.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 U #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
✓accuracy87.9%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓accuracy99.9%
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
✓accuracy99.4%
(*.f64 (*.f64 K K) #s(literal -1/46080 binary64))
✓accuracy98.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 K K)
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy86.5%
(*.f64 (*.f64 K K) J)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy87.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))
Results
206.0ms256×0valid
Compiler

Compiled 243 to 36 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 29.0ms (30.7% of total)
...c/correct-round.rkt:119:19: 22.0ms (23.3% of total)
compiled-spec: 17.0ms (18% of total)
ival-div: 8.0ms (8.5% of total)
ival-add: 7.0ms (7.4% of total)
ival-cos: 7.0ms (7.4% of total)
ival-sqrt: 4.0ms (4.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts
19 → 372
Calls
Call 1
Inputs
#<alt (* (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)) (cos (/ K 2)))>
#<alt (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))>
#<alt (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))>
#<alt (/ U (/ J 1/2))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* (* K K) J)))>
#<alt (* 1/4 (* (* K K) J))>
#<alt (* (* K K) J)>
#<alt (* (+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))) (* J -2))>
#<alt (+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080))))))>
#<alt (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))>
#<alt (* K K)>
#<alt (* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))>
#<alt (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))>
#<alt (/ (* U 1/2) J)>
#<alt (cos (/ K 2))>
#<alt (* (* K K) -1/46080)>
#<alt (* (* K K) (+ 1/384 (* (* K K) -1/46080)))>
#<alt (* U 1/2)>
Outputs
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))>
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (pow J 2) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))>
#<alt (* -2 J)>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))>
#<alt (* -2 J)>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* -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 (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<alt (* J (pow K 2))>
#<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 (* 1/23040 (* J (pow K 6)))>
#<alt (* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))>
#<alt (* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4))))))>
#<alt (* (pow K 6) (+ (* -2 (/ J (pow K 6))) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4)))))))>
#<alt (* 1/23040 (* J (pow K 6)))>
#<alt (* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))>
#<alt (* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4))))))>
#<alt (* (pow K 6) (+ (* -2 (/ J (pow K 6))) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4)))))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<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 (* -1/46080 (pow K 6))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* -1/46080 (pow K 6))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* -1/8 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))>
#<alt (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))>
#<alt (* -1/46080 (pow K 6))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* -1/46080 (pow K 6))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<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 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt 1>
#<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 (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* -1/46080 (pow K 4))>
#<alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* -1/46080 (pow K 4))>
#<alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
#<alt (* 1/2 U)>
Calls

93 calls:

TimeVariablePointExpression
3.0ms
J
@-inf
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))) (* J -2))
1.0ms
J
@0
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))) (* J -2))
1.0ms
J
@inf
(* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))
1.0ms
J
@inf
(+ (* -2 J) (* 1/4 (* (* K K) J)))
1.0ms
J
@0
(+ (* -2 J) (* 1/4 (* (* K K) J)))

rewrite258.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
3290×/-lowering-/.f32
3290×/-lowering-/.f64
3250×*-lowering-*.f32
3250×*-lowering-*.f64
1350×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040156
1145146
2724145
34502145
08384145
Stop Event
1×iter limit
1×node limit
Counts
19 → 685
Calls
Call 1
Inputs
(* (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)) (cos (/ K 2)))
(* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
(/ U (/ J 1/2))
(* -2 J)
(+ (* -2 J) (* 1/4 (* (* K K) J)))
(* 1/4 (* (* K K) J))
(* (* K K) J)
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))) (* J -2))
(+ 1 (* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080))))))
(* (* K K) (+ -1/8 (* (* K K) (+ 1/384 (* (* K K) -1/46080)))))
(* K K)
(* (* -2 J) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))
(sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))
(/ (* U 1/2) J)
(cos (/ K 2))
(* (* K K) -1/46080)
(* (* K K) (+ 1/384 (* (* K K) -1/46080)))
(* U 1/2)
Outputs
(neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal 1/2 binary64))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J))) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 #s(literal 2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -2 binary64))) J)
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/2 binary64)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 J #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 J #s(literal 1/2 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) J))) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) J))
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(/.f64 (neg.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) J))
(pow.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 J (/.f64 U #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))
(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 U J) #s(literal 1 binary64)))
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 U J)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 U #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) U)
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (exp.f64 (log.f64 U)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 U #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (exp.f64 (log.f64 (/.f64 U #s(literal 2 binary64)))))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (-.f64 #s(literal 0 binary64) U))
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (pow.f64 (/.f64 #s(literal -1 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 U #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) J) (pow.f64 (/.f64 #s(literal -2 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) J) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) U)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 U J)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 U J))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) J))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) U) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (exp.f64 (log.f64 U)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (exp.f64 (log.f64 (/.f64 U #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (exp.f64 (log.f64 (/.f64 U J))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 U J))))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) U))) (exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) J))))
(*.f64 (exp.f64 (log.f64 (/.f64 U #s(literal -2 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) J))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (/.f64 U J)))) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1 binary64) (/.f64 K #s(literal -2 binary64))))
(*.f64 K (*.f64 K #s(literal -1/46080 binary64)))
(*.f64 (*.f64 K K) #s(literal -1/46080 binary64))
(*.f64 #s(literal -1/46080 binary64) (*.f64 K K))
(*.f64 (*.f64 K #s(literal -1/46080 binary64)) K)
(+.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(+.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(fma.f64 K (*.f64 K #s(literal 1/384 binary64)) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(fma.f64 K (*.f64 K (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K (*.f64 K (*.f64 K K))) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(fma.f64 (*.f64 K #s(literal -1/46080 binary64)) (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(fma.f64 (*.f64 K #s(literal 1/384 binary64)) K (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(fma.f64 (*.f64 K (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))) K (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(fma.f64 (*.f64 K (*.f64 K K)) (*.f64 K #s(literal -1/46080 binary64)) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(fma.f64 (*.f64 K (*.f64 K (*.f64 K K))) #s(literal -1/46080 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
(*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))
(*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(*.f64 (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))) (*.f64 K K))
(*.f64 (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))) K)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) U)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 U #s(literal -2 binary64)))
(neg.f64 (/.f64 U #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) U))
(/.f64 U #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) U)))
(pow.f64 (/.f64 U #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) U) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 U #s(literal 2 binary64)))
(*.f64 U #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) U)
(*.f64 (/.f64 U #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) U))
(*.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 U #s(literal -2 binary64)))

simplify461.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
5308×*-lowering-*.f32
5308×*-lowering-*.f64
4654×+-lowering-+.f64
4654×+-lowering-+.f32
1484×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03774428
112273879
243793775
083333775
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
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)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(* -1 U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1 U)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
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(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
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(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* 1/23040 (* J (pow K 6)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4))))))
(* (pow K 6) (+ (* -2 (/ J (pow K 6))) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4)))))))
(* 1/23040 (* J (pow K 6)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4))))))
(* (pow K 6) (+ (* -2 (/ J (pow K 6))) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4)))))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (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) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* -1/8 (pow K 2))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))
(* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(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)
(* -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)))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* -1/46080 (pow K 2))
(* 1/384 (pow K 2))
(* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))
(* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))
(* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))
(* -1/46080 (pow K 4))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 4))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
(* 1/2 U)
Outputs
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/4 binary64)) J) (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 J J))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/4 binary64)) J) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal -1/512 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 J J)))))))))
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(*.f64 U (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(*.f64 U (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(*.f64 U (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64)))))))
(* U (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(*.f64 (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 2 binary64) (*.f64 U U))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(*.f64 J (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J))) (*.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(*.f64 J (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J)) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J))))
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(*.f64 (pow.f64 K #s(literal 4 binary64)) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (pow.f64 K #s(literal 4 binary64)) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* -1/46080 (pow K 4))
(*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (pow.f64 K #s(literal 4 binary64)) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (pow.f64 K #s(literal 4 binary64)) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (pow.f64 K #s(literal 4 binary64)) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)
(* 1/2 U)
(*.f64 #s(literal 1/2 binary64) U)

eval158.0ms (1.3%)

Compiler

Compiled 23974 to 2446 computations (89.8% saved)

prune171.0ms (1.4%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New1219121231
Fresh3710
Picked325
Done033
Total1225241249
Accuracy
100.0%
Counts
1249 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.9%
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
54.9%
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
32.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
34.2%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
▶73.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
36.6%
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) U)
▶36.5%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
11.9%
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
▶11.8%
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
▶38.4%
(-.f64 #s(literal 0 binary64) U)
33.1%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
33.1%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
33.0%
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
✓74.0%
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
49.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓87.8%
(*.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))))))
14.2%
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
8.9%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
28.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
✓55.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
2.5%
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
✓34.3%
(*.f64 #s(literal -2 binary64) J)
▶54.8%
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
✓12.0%
U
Compiler

Compiled 702 to 503 computations (28.3% saved)

simplify152.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 K #s(literal 2 binary64))
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))
✓cost-diff64
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
✓cost-diff0
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))
✓cost-diff128
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
✓cost-diff256
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)))
✓cost-diff0
(*.f64 J J)
✓cost-diff0
(/.f64 (*.f64 J J) U)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U))
✓cost-diff0
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
Rules
3000×*-lowering-*.f32
3000×*-lowering-*.f64
1028×fmsub-define
1002×/-lowering-/.f32
1002×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034192
190188
2236185
3732180
43071179
57875179
08023179
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))))
1
(/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)))
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ K 2)
K
2
(* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
(/ U (/ J 1/2))
U
(/ J 1/2)
J
1/2
(* -2 J)
-2
(- 0 U)
0
U
(- (* -2 (/ (* J J) U)) U)
(* -2 (/ (* J J) U))
-2
(/ (* J J) U)
(* J J)
J
U
(- 0 (* U (+ -1 (/ (* -2 (/ (* J J) U)) U))))
0
(* U (+ -1 (/ (* -2 (/ (* J J) U)) U)))
U
(+ -1 (/ (* -2 (/ (* J J) U)) U))
-1
(/ (* -2 (/ (* J J) U)) U)
(* -2 (/ (* J J) U))
-2
(/ (* J J) U)
(* J J)
J
(neg (/ (cos (/ K 2)) (/ 1/2 J)))
(/ (cos (/ K 2)) (/ 1/2 J))
(cos (/ K 2))
(/ K 2)
K
2
(/ 1/2 J)
1/2
J
Outputs
(/ 1 (/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) J))
1
#s(literal 1 binary64)
(/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)))
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ 1 (cos (/ K 2)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))
(*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))
(/ U (/ J 1/2))
(/.f64 U (/.f64 J #s(literal 1/2 binary64)))
U
(/ J 1/2)
(/.f64 J #s(literal 1/2 binary64))
J
1/2
#s(literal 1/2 binary64)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(- (* -2 (/ (* J J) U)) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(* -2 (/ (* J J) U))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
-2
#s(literal -2 binary64)
(/ (* J J) U)
(/.f64 (*.f64 J J) U)
(* J J)
(*.f64 J J)
J
U
(- 0 (* U (+ -1 (/ (* -2 (/ (* J J) U)) U))))
(+.f64 U (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U))
0
#s(literal 0 binary64)
(* U (+ -1 (/ (* -2 (/ (* J J) U)) U)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
U
(+ -1 (/ (* -2 (/ (* J J) U)) U))
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U))
-1
#s(literal -1 binary64)
(/ (* -2 (/ (* J J) U)) U)
(/.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(* -2 (/ (* J J) U))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
-2
#s(literal -2 binary64)
(/ (* J J) U)
(/.f64 (*.f64 J J) U)
(* J J)
(*.f64 J J)
J
(neg (/ (cos (/ K 2)) (/ 1/2 J)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(/ (cos (/ K 2)) (/ 1/2 J))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
1/2
#s(literal 1/2 binary64)
J

localize222.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) J)
✓accuracy100.0%
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
✓accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓accuracy99.6%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U))
✓accuracy93.9%
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
✓accuracy93.7%
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)))
✓accuracy90.2%
(/.f64 (*.f64 J J) U)
✓accuracy100.0%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
✓accuracy100.0%
(*.f64 J J)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U))
✓accuracy90.2%
(/.f64 (*.f64 J J) U)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
✓accuracy87.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))
Results
167.0ms256×0valid
Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 18.0ms (34% of total)
ival-mult: 11.0ms (20.8% of total)
compiled-spec: 7.0ms (13.2% of total)
ival-cos: 6.0ms (11.3% of total)
ival-sub: 4.0ms (7.6% of total)
ival-add: 3.0ms (5.7% of total)
ival-sqrt: 2.0ms (3.8% of total)
const: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.4%)

Counts
18 → 384
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))))>
#<alt (/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)))>
#<alt (/ 1 (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (- 0 U)>
#<alt (- (* -2 (/ (* J J) U)) U)>
#<alt (* -2 (/ (* J J) U))>
#<alt (/ (* J J) U)>
#<alt (* J J)>
#<alt (* U (+ -1 (/ (* -2 (/ (* J J) U)) U)))>
#<alt (- 0 (* U (+ -1 (/ (* -2 (/ (* J J) U)) U))))>
#<alt (+ -1 (/ (* -2 (/ (* J J) U)) U))>
#<alt (/ (* -2 (/ (* J J) U)) U)>
#<alt (neg (/ (cos (/ K 2)) (/ 1/2 J)))>
#<alt (/ (cos (/ K 2)) (/ 1/2 J))>
#<alt (/ K 2)>
#<alt (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))>
#<alt (/ 1/2 J)>
Outputs
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
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#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))>
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (pow J 2) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))>
#<alt (* -2 J)>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))>
#<alt (* -2 J)>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
#<alt (/ 1/2 J)>
Calls

96 calls:

TimeVariablePointExpression
15.0ms
U
@-inf
(* U (+ -1 (/ (* -2 (/ (* J J) U)) U)))
3.0ms
U
@0
(/ 1 (/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))))
3.0ms
U
@0
(/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)))
2.0ms
K
@inf
(/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)))
1.0ms
K
@0
(/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)))

rewrite231.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
3498×*-lowering-*.f32
3498×*-lowering-*.f64
3024×/-lowering-/.f32
3024×/-lowering-/.f64
1814×frac-times
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034134
1153127
2880124
36696121
08314121
Stop Event
1×iter limit
1×node limit
Counts
18 → 1007
Calls
Call 1
Inputs
(/ 1 (/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))))
(/ (/ 1 (cos (/ K 2))) (* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J)))
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(- 0 U)
(- (* -2 (/ (* J J) U)) U)
(* -2 (/ (* J J) U))
(/ (* J J) U)
(* J J)
(* U (+ -1 (/ (* -2 (/ (* J J) U)) U)))
(- 0 (* U (+ -1 (/ (* -2 (/ (* J J) U)) U))))
(+ -1 (/ (* -2 (/ (* J J) U)) U))
(/ (* -2 (/ (* J J) U)) U)
(neg (/ (cos (/ K 2)) (/ 1/2 J)))
(/ (cos (/ K 2)) (/ 1/2 J))
(/ K 2)
(* (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (* -2 J))
(/ 1/2 J)
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(/.f64 J (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) J))
(/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (*.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 J #s(literal -1/2 binary64)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) J) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) J))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(*.f64 J (/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 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 J #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 J #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.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 J #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) J) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 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 J #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 J #s(literal -1/2 binary64)))
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(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) J)
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(*.f64 (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) J)
(*.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) J))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 K #s(literal -2 binary64)))
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(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 K #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) K)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
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(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) K))
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(/.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) K)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 K #s(literal 2 binary64)))
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(*.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64)))
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(*.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -1/2 binary64))
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(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) K)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)))
(neg.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
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(/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)) #s(literal 1 binary64))
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(*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 J #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 J #s(literal -1/2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))))
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 J #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) J))
(*.f64 (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) #s(literal -2 binary64))
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(*.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64))))) (/.f64 J #s(literal -1/2 binary64)))
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(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 J #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 J #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) J))
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(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64)))
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(/.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))
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(/.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal -2 binary64))
(pow.f64 (/.f64 J #s(literal 1/2 binary64)) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) J))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) J) #s(literal -1/2 binary64))

simplify316.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
6226×*-lowering-*.f32
6226×*-lowering-*.f64
1862×+-lowering-+.f64
1862×+-lowering-+.f32
1800×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04784782
115874096
257093922
080393922
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1/16 (* (/ (pow K 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (* -1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/16 (* (/ 1 J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -5/768 (* (/ (pow K 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (* -1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/16 (* (/ 1 J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -5/768 (* (/ 1 J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -61/92160 (* (/ (pow K 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1/2 (* (/ 1 (* J (cos (* 1/2 K)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(/ -1/2 (* J (cos (* 1/2 K))))
(- (* 1/16 (/ (pow U 2) (* (pow J 3) (cos (* 1/2 K))))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))
(- (* (pow U 2) (+ (* -3/256 (/ (pow U 2) (* (pow J 5) (cos (* 1/2 K))))) (* 1/16 (/ 1 (* (pow J 3) (cos (* 1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))
(- (* (pow U 2) (+ (* (pow U 2) (- (* 5/2048 (/ (pow U 2) (* (pow J 7) (cos (* 1/2 K))))) (* 3/256 (/ 1 (* (pow J 5) (cos (* 1/2 K))))))) (* 1/16 (/ 1 (* (pow J 3) (cos (* 1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))
(/ -1 (* U (cos (* 1/2 K))))
(/ (- (* 2 (/ (pow J 2) (* (pow U 2) (cos (* 1/2 K))))) (/ 1 (cos (* 1/2 K)))) U)
(/ (- (+ (* 1/8 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (* (pow U 4) (cos (* 1/2 K)))))) (* 2 (/ (pow J 2) (* (pow U 2) (cos (* 1/2 K)))))) (/ 1 (cos (* 1/2 K)))) U)
(/ (- (+ (* 1/8 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (* (pow U 4) (cos (* 1/2 K)))))) (+ (* 1/8 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (* (pow U 6) (cos (* 1/2 K)))))) (* 2 (/ (pow J 2) (* (pow U 2) (cos (* 1/2 K))))))) (/ 1 (cos (* 1/2 K)))) U)
(/ 1 (* U (cos (* 1/2 K))))
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Outputs
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(+.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal -1/4 binary64)) (*.f64 K (*.f64 K (+.f64 (*.f64 J #s(literal 1/192 binary64)) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/23040 binary64)))))))))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 U (+.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J 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)))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 U (+.f64 (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/512 binary64)) (pow.f64 J #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal -1/4 binary64) J)))))
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(*.f64 U (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))))))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
(*.f64 U (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal -1 binary64))))
U
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(*.f64 U (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))))))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal -1 binary64))))
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (-.f64 (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) 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)
(*.f64 #s(literal -2 binary64) J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.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 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) 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) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.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)
(*.f64 #s(literal -2 binary64) J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(*.f64 J (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J))) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64)))) (-.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 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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))
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)

eval243.0ms (2%)

Compiler

Compiled 27927 to 3685 computations (86.8% saved)

prune252.0ms (2.1%)

Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1674131687
Fresh31114
Picked505
Done055
Total1682291711
Accuracy
100.0%
Counts
1711 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
32.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
2.2%
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
54.8%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
34.2%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
54.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
39.1%
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
36.6%
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) U)
11.8%
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
11.9%
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
11.8%
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
11.8%
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
33.1%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
33.1%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
39.1%
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
33.0%
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
✓74.0%
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
49.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓87.8%
(*.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))))))
14.2%
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
28.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
✓55.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
5.9%
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
2.5%
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
✓34.3%
(*.f64 #s(literal -2 binary64) J)
32.9%
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
54.9%
(neg.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
38.4%
(neg.f64 U)
✓12.0%
U
Compiler

Compiled 1115 to 513 computations (54% saved)

regimes89.0ms (0.7%)

Counts
49 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(neg.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(*.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 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(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:

15.0ms
(/.f64 K #s(literal 2 binary64))
14.0ms
K
14.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
U
13.0ms
J
Results
AccuracySegmentsBranch
91.1%2J
87.8%1K
91.9%2U
99.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
87.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
87.8%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes22.0ms (0.2%)

Counts
48 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(neg.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(*.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 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
Calls

1 calls:

17.0ms
U
Results
AccuracySegmentsBranch
91.9%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes120.0ms (1%)

Counts
46 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(neg.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(*.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 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Outputs
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
Calls

5 calls:

33.0ms
(/.f64 K #s(literal 2 binary64))
31.0ms
K
23.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
U
12.0ms
J
Results
AccuracySegmentsBranch
74.0%1K
74.0%1(/.f64 K #s(literal 2 binary64))
81.5%5(cos.f64 (/.f64 K #s(literal 2 binary64)))
81.1%2J
83.9%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes31.0ms (0.3%)

Counts
40 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(neg.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
Calls

1 calls:

25.0ms
U
Results
AccuracySegmentsBranch
83.9%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes91.0ms (0.8%)

Counts
39 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(neg.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(-.f64 U (*.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 2 binary64))))))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
Calls

3 calls:

54.0ms
U
21.0ms
J
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
80.0%5(cos.f64 (/.f64 K #s(literal 2 binary64)))
74.6%3J
77.5%3U
Compiler

Compiled 15 to 12 computations (20% saved)

regimes56.0ms (0.5%)

Counts
34 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(neg.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
Calls

5 calls:

11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
U
10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
K
10.0ms
J
Results
AccuracySegmentsBranch
70.8%2J
63.9%5(cos.f64 (/.f64 K #s(literal 2 binary64)))
57.1%2K
57.1%2(/.f64 K #s(literal 2 binary64))
72.9%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes28.0ms (0.2%)

Counts
29 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) K))
(/.f64 (+.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) (*.f64 J J))) U)
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 J (*.f64 J (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
(*.f64 (*.f64 K K) (*.f64 J (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (/.f64 J (/.f64 U J))))) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U J))) U))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -2 binary64)) (/.f64 U (/.f64 J (/.f64 U J)))) U))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))) (/.f64 #s(literal -1/2 binary64) J))
Outputs
(-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)
(*.f64 #s(literal -2 binary64) J)
Calls

3 calls:

9.0ms
J
8.0ms
U
8.0ms
K
Results
AccuracySegmentsBranch
50.3%4K
57.0%2J
56.7%2U
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(-.f64 U (/.f64 J (/.f64 U (/.f64 J #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
Calls

1 calls:

5.0ms
J
Results
AccuracySegmentsBranch
57.0%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

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

3 calls:

2.0ms
U
2.0ms
K
2.0ms
J
Results
AccuracySegmentsBranch
40.3%2K
38.4%1U
38.4%1J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

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

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.770177121092003e+299
+inf
0.0ms
-inf
-1.5860985375054584e+304
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch30.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
3.867826463133899e+188
2.7505860557208273e+194
Results
22.0ms144×0valid
Compiler

Compiled 375 to 247 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (31.4% of total)
ival-div: 4.0ms (25.1% of total)
ival-cos: 4.0ms (25.1% of total)
ival-add: 1.0ms (6.3% of total)
ival-sqrt: 1.0ms (6.3% of total)
ival-pow: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
4.248665279732353e+165
2.1535019165374377e+166
Results
41.0ms96×0valid
Compiler

Compiled 231 to 172 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 29.0ms (79.4% of total)
ival-cos: 3.0ms (8.2% of total)
ival-div: 1.0ms (2.7% of total)
ival-sqrt: 1.0ms (2.7% of total)
ival-pow: 1.0ms (2.7% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
4.248665279732353e+165
2.1535019165374377e+166
Results
21.0ms96×0valid
Compiler

Compiled 231 to 172 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 9.0ms (52.9% of total)
ival-mult: 3.0ms (17.6% of total)
ival-cos: 2.0ms (11.8% of total)
ival-sqrt: 1.0ms (5.9% of total)
ival-pow: 1.0ms (5.9% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
3.2018311214827227e+146
5.491917447777105e+147
19.0ms
1.1622193296974242e-9
5.2220560971634166e-9
Results
32.0ms208×0valid
Compiler

Compiled 391 to 301 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32.4% of total)
ival-cos: 6.0ms (27.8% of total)
ival-div: 3.0ms (13.9% of total)
ival-sqrt: 2.0ms (9.3% of total)
ival-pow: 2.0ms (9.3% of total)
ival-add: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
3.2018311214827227e+146
5.491917447777105e+147
Results
21.0ms112×0valid
Compiler

Compiled 208 to 155 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42.8% of total)
ival-div: 2.0ms (17.1% of total)
ival-cos: 2.0ms (17.1% of total)
ival-add: 1.0ms (8.6% of total)
ival-sqrt: 1.0ms (8.6% of total)
ival-pow: 1.0ms (8.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.7362386442835054e+40
6.269748201844714e+44
Results
18.0ms128×0valid
Compiler

Compiled 193 to 142 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.6% of total)
ival-cos: 3.0ms (22.6% of total)
ival-div: 2.0ms (15% of total)
ival-add: 1.0ms (7.5% of total)
ival-sqrt: 1.0ms (7.5% of total)
ival-pow: 1.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
2.7362386442835054e+40
6.269748201844714e+44
Results
23.0ms128×0valid
Compiler

Compiled 137 to 110 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sqrt: 6.0ms (34.5% of total)
ival-mult: 4.0ms (23% of total)
ival-cos: 3.0ms (17.2% of total)
ival-div: 2.0ms (11.5% of total)
ival-add: 1.0ms (5.7% of total)
ival-pow: 1.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.8807651493408147e+166
4.0037113247887734e+166
Results
8.0ms48×0valid
Compiler

Compiled 66 to 49 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (46.9% of total)
ival-cos: 2.0ms (31.3% of total)
ival-div: 1.0ms (15.6% 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)
ival-pow: 0.0ms (0% of total)

simplify23.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
076263
197263
2100263
3101263
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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 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 119999999999999999842779002882186902595230738109581183035712576020232878179028338523988270362816784036747697687473376226755473129545215042904961559806508496269697295367181169718451818135824629760 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 11500000000000000378535622147401578231867441984953317435425899479525104177230838045150024123678973491843509507311179685477268955745520058330319050780259661659513028608 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 5599999999999999600812933725074609093166851879926983964719029799744153474064816387457900214175601221184344693290355137335217712232762326761253110026469421388677513216 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 2030995376952577/1208925819614629174706176 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 U #s(literal 2350000000000000143487445119400867524077694703922425261739965232135257149190165082472616285660706069843153620507938430108111567603629650788885725184 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)))
(if (<=.f64 U #s(literal 324999999999999983976281260652132006017642374819167500254383663412397739703925277071962781084557673312256587701802900265720615423196192725775941632 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 J #s(literal 1550000000000000077309979896551297735720960 binary64)) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 J #s(literal 2700000000000000074768672757603215012265984 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 K #s(literal 39999999999999997616291042021410332095933184403421192921799076575753209026647455352718401016207802277498189570060273431092509962742598192468558863886980588966057607168 binary64)) (neg.f64 U) U)
U
Outputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 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 119999999999999999842779002882186902595230738109581183035712576020232878179028338523988270362816784036747697687473376226755473129545215042904961559806508496269697295367181169718451818135824629760 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 11500000000000000378535622147401578231867441984953317435425899479525104177230838045150024123678973491843509507311179685477268955745520058330319050780259661659513028608 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 11500000000000000378535622147401578231867441984953317435425899479525104177230838045150024123678973491843509507311179685477268955745520058330319050780259661659513028608 binary64)) (*.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 J #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 5599999999999999600812933725074609093166851879926983964719029799744153474064816387457900214175601221184344693290355137335217712232762326761253110026469421388677513216 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 2030995376952577/1208925819614629174706176 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 U #s(literal 2350000000000000143487445119400867524077694703922425261739965232135257149190165082472616285660706069843153620507938430108111567603629650788885725184 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)))
(if (<=.f64 U #s(literal 2030995376952577/1208925819614629174706176 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (if (<=.f64 U #s(literal 2350000000000000143487445119400867524077694703922425261739965232135257149190165082472616285660706069843153620507938430108111567603629650788885725184 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U)))
(if (<=.f64 U #s(literal 324999999999999983976281260652132006017642374819167500254383663412397739703925277071962781084557673312256587701802900265720615423196192725775941632 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 U #s(literal 324999999999999983976281260652132006017642374819167500254383663412397739703925277071962781084557673312256587701802900265720615423196192725775941632 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U))
(if (<=.f64 J #s(literal 1550000000000000077309979896551297735720960 binary64)) (-.f64 (/.f64 (/.f64 J (/.f64 U J)) #s(literal -1/2 binary64)) U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 J #s(literal 2700000000000000074768672757603215012265984 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 J #s(literal 2700000000000000074768672757603215012265984 binary64)) (-.f64 #s(literal 0 binary64) U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 K #s(literal 39999999999999997616291042021410332095933184403421192921799076575753209026647455352718401016207802277498189570060273431092509962742598192468558863886980588966057607168 binary64)) (neg.f64 U) U)
(if (<=.f64 K #s(literal 39999999999999997616291042021410332095933184403421192921799076575753209026647455352718401016207802277498189570060273431092509962742598192468558863886980588966057607168 binary64)) (-.f64 #s(literal 0 binary64) U) U)
U

soundness2.2s (18.3%)

Rules
6642×*-lowering-*.f32
6642×*-lowering-*.f64
6636×*-lowering-*.f32
6636×*-lowering-*.f64
5308×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03774428
112273879
243793775
083333775
03897079
113706074
258785827
085655827
034134
1153127
2880124
36696121
08314121
05597094
119436075
278625827
084645827
01724
13321
27921
320621
461921
5112121
6153421
7160221
8163721
9167221
10168921
11169321
12169321
0169321
043177
1178165
21172164
36297164
08237164
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1026 to 618 computations (39.8% saved)

preprocess135.0ms (1.1%)

Remove

(abs K)

Compiler

Compiled 1442 to 434 computations (69.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...