mixedcos

Time bar (total: 9.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze143.0ms (1.5%)

Memory
25.9MiB live, 163.2MiB allocated; 28ms collecting garbage
Algorithm
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
12.5%12.5%87.4%0.1%0%0%0%4
18.8%18.7%81.1%0.1%0%0%0%5
28.1%28.1%71.8%0.1%0%0%0%6
42.2%42.1%57.7%0.1%0%0%0%7
49.2%49.1%50.7%0.1%0%0%0%8
57.4%57.3%42.5%0.1%0%0%0%9
67%66.9%33%0.1%0%0%0%10
71.8%71.7%28.2%0.1%0%0%0%11
76.9%76.8%23.1%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.7s (17.5%)

Memory
40.1MiB live, 1 345.4MiB allocated; 849ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-pow2: 420.0ms (40.5% of total)
ival-mult: 223.0ms (21.5% of total)
ival-cos: 206.0ms (19.9% of total)
ival-div: 177.0ms (17.1% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain141.0ms (1.5%)

Memory
-20.2MiB live, 216.6MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
460-0-(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
310-0-(*.f64 x (pow.f64 s #s(literal 2 binary64)))
140-1(2.60996249684449e+241 -4.7424127282112497e-141 9.294682130609676e-277)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
11(-2.7511429628030906e-303 7.638828519698052e+164 -1.1671355734339279e+299)0-(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
00-0-(pow.f64 c #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) x)
0127(1.1622834931772409e+271 2.0616686392387073e-64 -6.020857068906889e+203)0-(cos.f64 (*.f64 #s(literal 2 binary64) x))
00-0-s
00-0-c
00-0-#s(literal 2 binary64)
00-0-x
00-0-(pow.f64 s #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (*.f64 #s(literal 2 binary64) x))sensitivity1271
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u170
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o150
(pow.f64 c #s(literal 2 binary64))underflow53
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow82
(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow83
(pow.f64 s #s(literal 2 binary64))overflow74
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o140
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*o110
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u110
(pow.f64 c #s(literal 2 binary64))overflow67
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow60
(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow51
(pow.f64 s #s(literal 2 binary64))underflow52
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*u100
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*o100
/.f64(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))n/o20
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow82
(pow.f64 c #s(literal 2 binary64))overflow67
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))overflow98
(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow83
(pow.f64 s #s(literal 2 binary64))overflow74
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u20
Confusion
Predicted +Predicted -
+710
-10283
Precision
0.41040462427745666
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-102182
Precision?
0.40804597701149425
Recall?
1.0
Freqs
test
numberfreq
083
1128
244
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 11.0ms (31.3% of total)
ival-mult: 11.0ms (31.3% of total)
ival-pow2: 9.0ms (25.6% of total)
ival-div: 3.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess181.0ms (1.9%)

Memory
17.7MiB live, 205.7MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049169
1152163
2512163
32060163
45322163
01216
02016
14016
210716
339716
4237016
5634516
0803816
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
Symmetry

(abs x)

(abs c)

(abs s)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 16 to 12 computations (25% saved)

series61.0ms (0.6%)

Memory
-16.9MiB live, 29.4MiB allocated; 2ms collecting garbage
Counts
12 → 19
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))
Calls

9 calls:

TimeVariablePointExpression
39.0ms
s
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
4.0ms
c
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms
x
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms
x
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms
s
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)

rewrite171.0ms (1.8%)

Memory
21.4MiB live, 116.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081447
092415
1374351
03114339
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 119
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 c c) (*.f64 x x)))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 c (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))))
c
(*.f64 (*.f64 (*.f64 x x) s) s)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (*.f64 s x))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 s (*.f64 s (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 s s) x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)))
(*.f64 (*.f64 s x) s)
(*.f64 (*.f64 s s) x)
(*.f64 s (*.f64 s x))
(*.f64 x (*.f64 s s))
(*.f64 (neg.f64 s) (neg.f64 s))
(*.f64 (fabs.f64 s) (fabs.f64 s))
(*.f64 (exp.f64 (log.f64 s)) (exp.f64 (log.f64 s)))
(*.f64 s s)
(pow.f64 (exp.f64 (log.f64 s)) #s(literal 2 binary64))
(pow.f64 (*.f64 s s) #s(literal 1 binary64))
(pow.f64 s #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 s #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))))
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (* (* x (pow s 2)) x) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
#s(approx (* x (pow s 2)) (*.f64 (*.f64 s s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (pow c 2) (*.f64 c c))
#s(approx c c)
#s(approx (pow s 2) (*.f64 s s))
#s(approx s s)

eval16.0ms (0.2%)

Memory
-18.1MiB live, 25.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 390 to 428 computations (82.1% saved)

prune121.0ms (1.3%)

Memory
-2.9MiB live, 158.7MiB allocated; 18ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1169125
Fresh000
Picked101
Done000
Total1179126
Accuracy
99.9%
Counts
126 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
77.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
86.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
82.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
98.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
78.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
69.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) s) s)))
79.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
86.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
Compiler

Compiled 260 to 208 computations (20% saved)

series49.0ms (0.5%)

Memory
-6.3MiB live, 87.6MiB allocated; 4ms collecting garbage
Counts
30 → 64
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(*.f64 (*.f64 s x) c)
(*.f64 s x)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) s) s)))
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) s) s))
(pow.f64 c #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x x) s) s)
(*.f64 (*.f64 x x) s)
(*.f64 x x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 c c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 s c)
Outputs
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (pow (* s x) 2) c) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (pow (* s x) 2) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (pow c 2) (* (* (* x x) s) s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* x x) s) s) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* (* x x) s) #s(hole binary64 (* s (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx c #s(hole binary64 c))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
c
@0
((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) (* (pow c 2) (* (* (* x x) s) s)) (pow c 2) (* (* (* x x) s) s) (* (* x x) s) (* x x) (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) (/ (cos (* -2 x)) (pow (* s c) 2)) (pow (* s c) 2) (* s c))
6.0ms
s
@inf
((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) (* (pow c 2) (* (* (* x x) s) s)) (pow c 2) (* (* (* x x) s) s) (* (* x x) s) (* x x) (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) (/ (cos (* -2 x)) (pow (* s c) 2)) (pow (* s c) 2) (* s c))
5.0ms
s
@-inf
((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) (* (pow c 2) (* (* (* x x) s) s)) (pow c 2) (* (* (* x x) s) s) (* (* x x) s) (* x x) (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) (/ (cos (* -2 x)) (pow (* s c) 2)) (pow (* s c) 2) (* s c))
5.0ms
x
@-inf
((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) (* (pow c 2) (* (* (* x x) s) s)) (pow c 2) (* (* (* x x) s) s) (* (* x x) s) (* x x) (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) (/ (cos (* -2 x)) (pow (* s c) 2)) (pow (* s c) 2) (* s c))
5.0ms
x
@inf
((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) (* (pow c 2) (* (* (* x x) s) s)) (pow c 2) (* (* (* x x) s) s) (* (* x x) s) (* x x) (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) (/ (cos (* -2 x)) (pow (* s c) 2)) (pow (* s c) 2) (* s c))

rewrite232.0ms (2.4%)

Memory
15.1MiB live, 197.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832019
02271721
16981567
052361513
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
94 → 619
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(*.f64 (*.f64 s x) c)
(*.f64 s x)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) s) s)))
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) s) s))
(pow.f64 c #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x x) s) s)
(*.f64 (*.f64 x x) s)
(*.f64 x x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 c c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 s c)
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (pow (* s x) 2) c) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (pow (* s x) 2) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (pow c 2) (* (* (* x x) s) s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* x x) s) s) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* (* x x) s) #s(hole binary64 (* s (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* (* x x) s) s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (pow (* s x) 2)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (/ (cos (* -2 x)) (pow (* s c) 2)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx c #s(hole binary64 c))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 x x) s)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) s) (*.f64 (*.f64 x x) s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x) x)
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
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(neg.f64 (*.f64 #s(literal -2 binary64) x))
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#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) (pow.f64 (*.f64 c s) #s(literal -2 binary64)))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) (fma.f64 (fma.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (pow (* s c) 2)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
#s(approx c c)
#s(approx (* c c) (*.f64 c c))
#s(approx (* c c) (*.f64 c c))
#s(approx (pow (* s c) 2) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
#s(approx (* s c) (*.f64 c s))
#s(approx s s)

eval77.0ms (0.8%)

Memory
-17.8MiB live, 78.0MiB allocated; 22ms collecting garbage
Compiler

Compiled 8 959 to 1 283 computations (85.7% saved)

prune1.9s (19.8%)

Memory
28.5MiB live, 2 322.8MiB allocated; 297ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New4929501
Fresh404
Picked145
Done000
Total49713510
Accuracy
100.0%
Counts
510 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (*.f64 c s) s)) (*.f64 x x))
77.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
75.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c)) (*.f64 x x))
82.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
87.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
98.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
97.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
96.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
98.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
86.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
80.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
79.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
93.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
Compiler

Compiled 314 to 251 computations (20.1% saved)

series43.0ms (0.5%)

Memory
20.3MiB live, 67.8MiB allocated; 1ms collecting garbage
Counts
32 → 61
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))
(*.f64 (*.f64 s x) c)
(*.f64 s x)
s
c
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
(*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c)))
(*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))
(*.f64 c x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(*.f64 s s)
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))
(*.f64 (*.f64 c x) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c)) (*.f64 x x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 (*.f64 c s) s) c)
(*.f64 (*.f64 c s) s)
(*.f64 c s)
(*.f64 x x)
Outputs
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (pow (* (* s x) c) -2)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (pow (* (* s x) c) -2) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* s (* (* c x) (* (* s x) c))) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* s s) (pow (* c x) 2)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (pow (* (* c x) s) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) s) #s(hole binary64 (* c (* s x))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx c #s(hole binary64 c))
#s(approx (* (* (* c s) s) c) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (* (* c s) s) #s(hole binary64 (* c (pow s 2))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
c
@0
((/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) (cos (* 2 x)) (* 2 x) 2 x (/ 1 (pow (* (* s x) c) -2)) 1 (pow (* (* s x) c) -2) (* (* s x) c) (* s x) s c -2 (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) (* s (* (* c x) (* (* s x) c))) (* (* c x) (* (* s x) c)) (* c x) (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) (* (* s s) (pow (* c x) 2)) (* s s) (pow (* c x) 2) (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (pow (* (* c x) s) 2) (* (* c x) s) (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) (/ (cos (* -2 x)) (* (* (* c s) s) c)) (cos (* -2 x)) (* -2 x) (* (* (* c s) s) c) (* (* c s) s) (* c s) (* x x))
5.0ms
c
@-inf
((/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) (cos (* 2 x)) (* 2 x) 2 x (/ 1 (pow (* (* s x) c) -2)) 1 (pow (* (* s x) c) -2) (* (* s x) c) (* s x) s c -2 (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) (* s (* (* c x) (* (* s x) c))) (* (* c x) (* (* s x) c)) (* c x) (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) (* (* s s) (pow (* c x) 2)) (* s s) (pow (* c x) 2) (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (pow (* (* c x) s) 2) (* (* c x) s) (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) (/ (cos (* -2 x)) (* (* (* c s) s) c)) (cos (* -2 x)) (* -2 x) (* (* (* c s) s) c) (* (* c s) s) (* c s) (* x x))
5.0ms
c
@inf
((/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) (cos (* 2 x)) (* 2 x) 2 x (/ 1 (pow (* (* s x) c) -2)) 1 (pow (* (* s x) c) -2) (* (* s x) c) (* s x) s c -2 (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) (* s (* (* c x) (* (* s x) c))) (* (* c x) (* (* s x) c)) (* c x) (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) (* (* s s) (pow (* c x) 2)) (* s s) (pow (* c x) 2) (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (pow (* (* c x) s) 2) (* (* c x) s) (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) (/ (cos (* -2 x)) (* (* (* c s) s) c)) (cos (* -2 x)) (* -2 x) (* (* (* c s) s) c) (* (* c s) s) (* c s) (* x x))
5.0ms
s
@-inf
((/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) (cos (* 2 x)) (* 2 x) 2 x (/ 1 (pow (* (* s x) c) -2)) 1 (pow (* (* s x) c) -2) (* (* s x) c) (* s x) s c -2 (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) (* s (* (* c x) (* (* s x) c))) (* (* c x) (* (* s x) c)) (* c x) (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) (* (* s s) (pow (* c x) 2)) (* s s) (pow (* c x) 2) (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (pow (* (* c x) s) 2) (* (* c x) s) (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) (/ (cos (* -2 x)) (* (* (* c s) s) c)) (cos (* -2 x)) (* -2 x) (* (* (* c s) s) c) (* (* c s) s) (* c s) (* x x))
4.0ms
s
@inf
((/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) (cos (* 2 x)) (* 2 x) 2 x (/ 1 (pow (* (* s x) c) -2)) 1 (pow (* (* s x) c) -2) (* (* s x) c) (* s x) s c -2 (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) (* s (* (* c x) (* (* s x) c))) (* (* c x) (* (* s x) c)) (* c x) (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) (* (* s s) (pow (* c x) 2)) (* s s) (pow (* c x) 2) (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (pow (* (* c x) s) 2) (* (* c x) s) (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) (/ (cos (* -2 x)) (* (* (* c s) s) c)) (cos (* -2 x)) (* -2 x) (* (* (* c s) s) c) (* (* c s) s) (* c s) (* x x))

rewrite131.0ms (1.4%)

Memory
-23.7MiB live, 119.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01671957
02131687
15911489
040581441
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
93 → 799
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))
(*.f64 (*.f64 s x) c)
(*.f64 s x)
s
c
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
(*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c)))
(*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))
(*.f64 c x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(*.f64 s s)
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))
(*.f64 (*.f64 c x) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c)) (*.f64 x x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 (*.f64 c s) s) c)
(*.f64 (*.f64 c s) s)
(*.f64 c s)
(*.f64 x x)
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (pow (* (* s x) c) -2)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (pow (* (* s x) c) -2) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* s (* (* c x) (* (* s x) c))) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* s s) (pow (* c x) 2)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (pow (* (* c x) s) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) s) #s(hole binary64 (* c (* s x))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos (* 2 x)) (/ 1 (pow (* (* s x) c) -2))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* s (* (* c x) (* (* s x) c)))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* s s) (pow (* c x) 2))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* (* c s) s) c)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx c #s(hole binary64 c))
#s(approx (* (* (* c s) s) c) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (* (* c s) s) #s(hole binary64 (* c (pow s 2))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Outputs
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (*.f64 (*.f64 x x) s) c)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (*.f64 c s) x)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) c) (*.f64 (*.f64 (*.f64 x x) s) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (*.f64 c x)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (*.f64 x x)) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s)) (neg.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s))) (neg.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) s)) (*.f64 c (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) #s(literal -1 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (fabs.f64 s)) (fabs.f64 s))
(*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x))
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x)
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) s) (*.f64 c x))
(*.f64 (*.f64 s (*.f64 (*.f64 (*.f64 x x) s) c)) c)
(*.f64 (*.f64 s (*.f64 (*.f64 c s) x)) (*.f64 c x))
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#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (pow (* (* c x) s) 2)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) s) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx c c)
#s(approx (* (* (* c s) s) c) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
#s(approx (* (* c s) s) (*.f64 (*.f64 c s) s))
#s(approx (* c s) (*.f64 c s))
#s(approx s s)
#s(approx (* s s) (*.f64 s s))

eval75.0ms (0.8%)

Memory
26.1MiB live, 119.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 466 to 1 469 computations (86% saved)

prune2.4s (25.1%)

Memory
-26.5MiB live, 2 798.2MiB allocated; 175ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New5744578
Fresh314
Picked235
Done224
Total58110591
Accuracy
100.0%
Counts
591 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x)) (*.f64 (*.f64 c s) x))
77.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
75.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c)) (*.f64 x x))
82.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
88.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
87.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
98.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
93.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
93.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
93.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
Compiler

Compiled 226 to 181 computations (19.9% saved)

series54.0ms (0.6%)

Memory
35.3MiB live, 82.1MiB allocated; 2ms collecting garbage
Counts
29 → 67
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
s
(*.f64 c x)
c
(*.f64 (*.f64 c s) x)
(*.f64 c s)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 c s) x) c)
(*.f64 s x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
Outputs
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ 1 (* c (* s x)))))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (/ 1 s)))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (+ (* -2 (/ (pow x 2) s)) (/ 1 s))))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) s)) (* 2 (/ 1 s)))) (/ 1 s))))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) s)) (* 2/3 (/ 1 s)))) (* 2 (/ 1 s)))) (/ 1 s))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (* (* c s) x) c) (* s x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* c s) x) c) #s(hole binary64 (* (pow c 2) (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* (* c s) x) (* s x)) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* c s) x) (* s x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (/ 1 c)))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (+ (* -2 (/ (pow x 2) c)) (/ 1 c))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) c)) (* 2 (/ 1 c)))) (/ 1 c))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) c)) (* 2/3 (/ 1 c)))) (* 2 (/ 1 c)))) (/ 1 c))))
#s(approx (* (pow (* s x) 2) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (pow (* c x) 2) s) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (cos (* -2 x)) (* c (* s x)))))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (/ (cos (* -2 x)) s)))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (/ (cos (* -2 x)) c)))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx c #s(hole binary64 c))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
c
@-inf
((/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) (/ (/ (cos (* -2 x)) s) (* c x)) (/ (cos (* -2 x)) s) (cos (* -2 x)) (* -2 x) -2 x s (* c x) c (* (* c s) x) (* c s) (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) (cos (* 2 x)) (* 2 x) 2 (* (* (* (* c s) x) c) (* s x)) (* (* (* c s) x) c) (* s x) (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (* (* (* (* c s) x) (* s x)) c) (* (* (* c s) x) (* s x)) (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2))
6.0ms
x
@-inf
((/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) (/ (/ (cos (* -2 x)) s) (* c x)) (/ (cos (* -2 x)) s) (cos (* -2 x)) (* -2 x) -2 x s (* c x) c (* (* c s) x) (* c s) (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) (cos (* 2 x)) (* 2 x) 2 (* (* (* (* c s) x) c) (* s x)) (* (* (* c s) x) c) (* s x) (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (* (* (* (* c s) x) (* s x)) c) (* (* (* c s) x) (* s x)) (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2))
6.0ms
s
@-inf
((/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) (/ (/ (cos (* -2 x)) s) (* c x)) (/ (cos (* -2 x)) s) (cos (* -2 x)) (* -2 x) -2 x s (* c x) c (* (* c s) x) (* c s) (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) (cos (* 2 x)) (* 2 x) 2 (* (* (* (* c s) x) c) (* s x)) (* (* (* c s) x) c) (* s x) (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (* (* (* (* c s) x) (* s x)) c) (* (* (* c s) x) (* s x)) (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2))
5.0ms
x
@inf
((/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) (/ (/ (cos (* -2 x)) s) (* c x)) (/ (cos (* -2 x)) s) (cos (* -2 x)) (* -2 x) -2 x s (* c x) c (* (* c s) x) (* c s) (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) (cos (* 2 x)) (* 2 x) 2 (* (* (* (* c s) x) c) (* s x)) (* (* (* c s) x) c) (* s x) (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (* (* (* (* c s) x) (* s x)) c) (* (* (* c s) x) (* s x)) (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2))
5.0ms
s
@inf
((/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) (/ (/ (cos (* -2 x)) s) (* c x)) (/ (cos (* -2 x)) s) (cos (* -2 x)) (* -2 x) -2 x s (* c x) c (* (* c s) x) (* c s) (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) (cos (* 2 x)) (* 2 x) 2 (* (* (* (* c s) x) c) (* s x)) (* (* (* c s) x) c) (* s x) (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (* (* (* (* c s) x) (* s x)) c) (* (* (* c s) x) (* s x)) (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) (* (pow (* c x) 2) s) (pow (* c x) 2))

rewrite212.0ms (2.2%)

Memory
-21.4MiB live, 165.4MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02222094
02671952
19571648
076441588
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
96 → 544
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
s
(*.f64 c x)
c
(*.f64 (*.f64 c s) x)
(*.f64 c s)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 c s) x) c)
(*.f64 s x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ 1 (* c (* s x)))))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (/ 1 s)))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (+ (* -2 (/ (pow x 2) s)) (/ 1 s))))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) s)) (* 2 (/ 1 s)))) (/ 1 s))))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) s)) (* 2/3 (/ 1 s)))) (* 2 (/ 1 s)))) (/ 1 s))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (* (* c s) x) c) (* s x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* c s) x) c) #s(hole binary64 (* (pow c 2) (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* (* c s) x) (* s x)) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* c s) x) (* s x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (/ 1 c)))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (+ (* -2 (/ (pow x 2) c)) (/ 1 c))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) c)) (* 2 (/ 1 c)))) (/ 1 c))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) c)) (* 2/3 (/ 1 c)))) (* 2 (/ 1 c)))) (/ 1 c))))
#s(approx (* (pow (* s x) 2) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (pow (* c x) 2) s) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (pow (* c x) 2) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) s) (* c x)) (* (* c s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) #s(hole binary64 (/ (cos (* -2 x)) (* c (* s x)))))
#s(approx (/ (cos (* -2 x)) s) #s(hole binary64 (/ (cos (* -2 x)) s)))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) c) (* s x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) c) (* (pow (* s x) 2) c)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) c) #s(hole binary64 (/ (cos (* -2 x)) c)))
#s(approx (/ (/ (cos (* -2 x)) s) (* (pow (* c x) 2) s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx c #s(hole binary64 c))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
Outputs
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) (*.f64 c x)) x) s)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c) x) (*.f64 c s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 (*.f64 s s) c)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) (*.f64 c x))) (neg.f64 (*.f64 s x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) (*.f64 c x)) s)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))) (neg.f64 s))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) (*.f64 c x)) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) (*.f64 x (*.f64 (*.f64 s x) c)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) (*.f64 c x)) s) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 c x)) (*.f64 (*.f64 (neg.f64 c) s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 (*.f64 s x) c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 (neg.f64 s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (neg.f64 s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (neg.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c) (neg.f64 (*.f64 (*.f64 (neg.f64 c) s) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c) (*.f64 (*.f64 s x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (neg.f64 (*.f64 (neg.f64 s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 c x)) (*.f64 (*.f64 s x) c)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c) (*.f64 (*.f64 (neg.f64 c) s) x)))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (*.f64 (neg.f64 s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) x) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) s) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) x) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 c s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s))) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 c) s) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 (neg.f64 x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)) (neg.f64 (*.f64 s x)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (neg.f64 s) (*.f64 c x)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (*.f64 (neg.f64 c) s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (neg.f64 (*.f64 (neg.f64 x) c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (*.f64 c x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) c))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 c x)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 s)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s)
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
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(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (neg.f64 s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (neg.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c) (neg.f64 (*.f64 (*.f64 (neg.f64 c) s) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c) (*.f64 (*.f64 s x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (neg.f64 (*.f64 (neg.f64 s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 c x)) (*.f64 (*.f64 s x) c)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 s)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c) (*.f64 (*.f64 (neg.f64 c) s) x)))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s) (*.f64 (neg.f64 s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 c x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 c x) c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 c s))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(*.f64 (*.f64 (*.f64 c c) s) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s x) x) (*.f64 c c))
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)
(*.f64 (*.f64 x x) (*.f64 (*.f64 c c) s))
(*.f64 (*.f64 c c) (*.f64 (*.f64 s x) x))
(*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x)
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 c x))
(*.f64 c (*.f64 x (*.f64 (*.f64 s x) c)))
(*.f64 c (*.f64 c (*.f64 (*.f64 s x) x)))
(*.f64 s (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(*.f64 x (*.f64 (*.f64 (*.f64 c c) x) s))
(*.f64 (*.f64 (*.f64 x x) c) c)
(*.f64 (*.f64 (*.f64 c c) x) x)
(*.f64 (*.f64 (*.f64 c x) c) x)
(*.f64 (*.f64 (*.f64 c x) x) c)
(*.f64 (fabs.f64 (*.f64 c x)) (fabs.f64 (*.f64 c x)))
(*.f64 (exp.f64 (log.f64 (*.f64 c x))) (exp.f64 (log.f64 (*.f64 c x))))
(*.f64 (*.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))
(*.f64 (*.f64 x x) (*.f64 c c))
(*.f64 (*.f64 c c) (*.f64 x x))
(*.f64 (*.f64 c x) (*.f64 c x))
(*.f64 c (*.f64 x (*.f64 c x)))
(*.f64 c (*.f64 c (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 c c)))
(*.f64 x (*.f64 c (*.f64 c x)))
(pow.f64 (exp.f64 (log.f64 (*.f64 c x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal -2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -1 binary64)) x))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c s)) x))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 c s)) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -1 binary64))) x))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 c s)) (*.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) c) s)) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -1 binary64))) x))
#s(approx (/ (cos (* -2 x)) s) (pow.f64 s #s(literal -1 binary64)))
#s(approx (/ (cos (* -2 x)) s) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s))
#s(approx (/ (cos (* -2 x)) s) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) s) (*.f64 x x) (pow.f64 s #s(literal -1 binary64))))
#s(approx (/ (cos (* -2 x)) s) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 x x) (/.f64 #s(literal -2 binary64) s)) (*.f64 x x) (pow.f64 s #s(literal -1 binary64))))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* -2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 x #s(literal -2 binary64)))
#s(approx x x)
#s(approx (* c x) (*.f64 c x))
#s(approx (* (* c s) x) (*.f64 (*.f64 s x) c))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* -2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (* (* (* c s) x) (* s x)) c) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
#s(approx (* (* (* c s) x) c) (*.f64 (*.f64 (*.f64 c c) x) s))
#s(approx (* s x) (*.f64 s x))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (* (* (* (* c s) x) (* s x)) c) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
#s(approx (* (* (* c s) x) (* s x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* -2 x)) c) (pow.f64 c #s(literal -1 binary64)))
#s(approx (/ (cos (* -2 x)) c) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c))
#s(approx (/ (cos (* -2 x)) c) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) c) x) x (pow.f64 c #s(literal -1 binary64))))
#s(approx (/ (cos (* -2 x)) c) (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) c) x) x (/.f64 #s(literal -2 binary64) c)) (*.f64 x x) (pow.f64 c #s(literal -1 binary64))))
#s(approx (* (* (* c s) x) (* s x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
#s(approx (pow (* s x) 2) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (* (pow (* c x) 2) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
#s(approx (pow (* c x) 2) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) s) (* c x)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) c))
#s(approx (/ (cos (* -2 x)) s) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) s))
#s(approx (cos (* -2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (cos (* -2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) c) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c))
#s(approx (/ (cos (* 2 x)) (* (* (* (* c s) x) (* s x)) c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx c c)
#s(approx (* c s) (*.f64 c s))
#s(approx s s)

eval49.0ms (0.5%)

Memory
27.5MiB live, 73.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 8 548 to 1 167 computations (86.3% saved)

prune1.5s (15.9%)

Memory
7.1MiB live, 1 334.4MiB allocated; 84ms collecting garbage
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New4610461
Fresh000
Picked055
Done055
Total46110471
Accuracy
100.0%
Counts
471 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x)) (*.f64 (*.f64 c s) x))
77.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
75.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c)) (*.f64 x x))
82.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
88.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
87.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
98.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
93.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
93.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
93.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
Compiler

Compiled 488 to 209 computations (57.2% saved)

regimes36.0ms (0.4%)

Memory
1.4MiB live, 49.3MiB allocated; 4ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) s) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) s) c)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (*.f64 c s) s)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s) (*.f64 c x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
Calls

6 calls:

8.0ms
x
6.0ms
s
6.0ms
c
5.0ms
(pow.f64 s #s(literal 2 binary64))
5.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.4%1(pow.f64 s #s(literal 2 binary64))
98.4%1(pow.f64 c #s(literal 2 binary64))
98.4%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
98.4%1x
98.4%1c
98.4%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes18.0ms (0.2%)

Memory
-19.6MiB live, 27.7MiB allocated; 1ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) s) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
Calls

6 calls:

3.0ms
(pow.f64 c #s(literal 2 binary64))
3.0ms
s
3.0ms
x
3.0ms
c
3.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.4%2(pow.f64 s #s(literal 2 binary64))
93.8%1(pow.f64 c #s(literal 2 binary64))
93.8%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
97.4%2x
93.8%1c
96.4%2s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
Calls

3 calls:

2.0ms
x
2.0ms
s
2.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.4%2(pow.f64 s #s(literal 2 binary64))
95.4%2s
97.7%3x
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes9.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Accuracy

Total -15.3b remaining (-342%)

Threshold costs -15.3b (-342%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
Calls

6 calls:

1.0ms
x
1.0ms
s
1.0ms
c
1.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.0%1(pow.f64 c #s(literal 2 binary64))
93.0%1c
93.0%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
93.0%1s
93.0%1(pow.f64 s #s(literal 2 binary64))
93.0%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch19.0ms (0.2%)

Memory
-25.6MiB live, 21.5MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3.274756817723591e-17
5.2368079526237024e-8
Samples
12.0ms144×0valid
Compiler

Compiled 307 to 252 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.5% of total)
ival-pow2: 2.0ms (27% of total)
ival-div: 1.0ms (13.5% of total)
ival-cos: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
2.0ms
6.060725370733671e+89
7.765940395353966e+93
16.0ms
1.2601816830605097e-171
8.712856614578992e-166
Samples
12.0ms160×0valid
Compiler

Compiled 339 to 268 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (35.2% of total)
ival-pow2: 3.0ms (35.2% of total)
ival-div: 1.0ms (11.7% of total)
ival-cos: 1.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify31.0ms (0.3%)

Memory
-26.3MiB live, 20.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038122
141122
245122
365122
4215122
52157122
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 6591783121186793/5070602400912917605986812821504 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c)))))
(if (<=.f64 x #s(literal 1784291694618827/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x))) (if (<=.f64 x #s(literal 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 6591783121186793/5070602400912917605986812821504 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c)))))
(if (<=.f64 x #s(literal 1784291694618827/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x))) (if (<=.f64 x #s(literal 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 s x) c))))

derivations119.0ms (1.3%)

Memory
6.2MiB live, 61.6MiB allocated; 34ms collecting garbage
Stop Event
done
Compiler

Compiled 122 to 38 computations (68.9% saved)

preprocess48.0ms (0.5%)

Memory
11.6MiB live, 58.8MiB allocated; 4ms collecting garbage
Remove

(abs x)

Compiler

Compiled 472 to 282 computations (40.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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