Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze183.0ms (5%)

Memory
33.3MiB live, 404.5MiB allocated; 96ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.3s (35.6%)

Memory
18.3MiB live, 1 922.9MiB allocated; 451ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 745.0ms
ival-sin: 526.0ms (70.6% of total)
ival-mult!: 145.0ms (19.5% of total)
ival-div!: 73.0ms (9.8% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess81.0ms (2.2%)

Memory
-20.4MiB live, 74.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02045
16033
227133
3159628
4678228
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Symmetry

(negabs x)

Compiler

Compiled 28 to 22 computations (21.4% saved)

series7.0ms (0.2%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
11 → 25
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))
2.0ms
x
@-inf
((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))
1.0ms
x
@0
((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))

rewrite219.0ms (6%)

Memory
25.2MiB live, 205.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149531
0161495
1869495
26875495
08298465
124680465
Stop Event
saturated
node-limit
iter-limit
Counts
36 → 60
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 4/3 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) (sin.f64 x))

eval6.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 586 to 224 computations (61.8% saved)

prune14.0ms (0.4%)

Memory
-16.0MiB live, 29.7MiB allocated; 4ms collecting garbage
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New351954
Fresh000
Picked101
Done000
Total361955
Accuracy
99.7%
Counts
55 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
29.1%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) (sin.f64 x))
28.8%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
76.3%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
28.2%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
28.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
52.6%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
52.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
99.2%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 630 to 552 computations (12.4% saved)

series16.0ms (0.4%)

Memory
-11.5MiB live, 34.8MiB allocated; 3ms collecting garbage
Counts
27 → 57
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
Outputs
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) 1 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3))
4.0ms
x
@-inf
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) 1 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3))
4.0ms
x
@0
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) 1 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3))

rewrite223.0ms (6.1%)

Memory
-0.6MiB live, 242.9MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03101244
03481132
118971132
081961066
1249371066
Stop Event
saturated
node-limit
iter-limit
Counts
84 → 197
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 8/3 binary64)
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (fabs.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x))))
(cos.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(cos.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))

eval70.0ms (1.9%)

Memory
7.4MiB live, 62.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 930 to 734 computations (62% saved)

prune85.0ms (2.3%)

Memory
14.7MiB live, 61.5MiB allocated; 4ms collecting garbage
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New20416220
Fresh7714
Picked235
Done000
Total21326239
Accuracy
99.8%
Counts
239 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
28.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
27.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
28.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
76.3%
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
52.6%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
76.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
52.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
5.2%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
4.4%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
52.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
99.2%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
55.5%
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
5.2%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
28.8%
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
28.7%
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
52.6%
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
Compiler

Compiled 834 to 772 computations (7.4% saved)

series18.0ms (0.5%)

Memory
-4.2MiB live, 40.8MiB allocated; 5ms collecting garbage
Counts
38 → 64
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 x (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))
(cos.f64 x)
Outputs
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 4/3))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (* (sin (* 1/2 x)) 8/3) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* x (* 2/3 x)) (* 2/3 x) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (cos x))
4.0ms
x
@-inf
((* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (* (sin (* 1/2 x)) 8/3) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* x (* 2/3 x)) (* 2/3 x) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (cos x))
3.0ms
x
@0
((* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (* (sin (* 1/2 x)) 8/3) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* x (* 2/3 x)) (* 2/3 x) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (cos x))

rewrite307.0ms (8.4%)

Memory
-11.0MiB live, 312.2MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231489
03641332
119081332
087751271
1261351271
Stop Event
saturated
node-limit
iter-limit
Counts
102 → 244
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 x (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))
(cos.f64 x)
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 4/3))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 8/3 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal -2/3 binary64))
(-.f64 #s(literal 2/3 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(*.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (neg.f64 (sin.f64 x)))
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x)
(*.f64 x (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (fabs.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x))))
(cos.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(cos.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))))
(*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 4/3 binary64)))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* (* x x) 1/18) 2/3) (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/18 binary64)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))

eval37.0ms (1%)

Memory
39.0MiB live, 79.0MiB allocated; 13ms collecting garbage
Compiler

Compiled 2 255 to 1 037 computations (54% saved)

prune74.0ms (2%)

Memory
-49.6MiB live, 58.8MiB allocated; 51ms collecting garbage
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New23719256
Fresh41418
Picked235
Done033
Total24339282
Accuracy
99.8%
Counts
282 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
28.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
27.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
28.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
76.3%
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
52.6%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
76.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
52.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
5.2%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
4.4%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
52.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
99.1%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
51.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
55.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)))
5.2%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
28.6%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
5.2%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
5.2%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
5.2%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)))
3.6%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
28.0%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
27.9%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64)))
4.5%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
5.2%
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
4.6%
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
28.8%
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
26.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
18.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))))
52.6%
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
Compiler

Compiled 1 413 to 1 343 computations (5% saved)

series14.0ms (0.4%)

Memory
29.1MiB live, 29.1MiB allocated; 0ms collecting garbage
Counts
50 → 73
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64))
(/.f64 #s(literal 2/3 binary64) (*.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 1/18 binary64)
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
#s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
Outputs
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 4/3))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 x)))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ 2/3 (pow x 2))))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ (+ 2/3 (* 1/18 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 1/18))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* -1/48 (pow x 4))))
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 1/48))))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* -1/48 (pow x 2))))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/48))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ 1 (sin x))) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (+ (/ 2/3 (* x x)) 1/18) (* x x)) (+ (/ 2/3 (* x x)) 1/18) (/ 2/3 (* x x)) 2/3 (* x x) 1/18 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (+ (* -1/48 (* x x)) 1/4) -1/48 1/4 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) (* (* x x) 1/6) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (* (- 1/2 (* (cos x) 1/2)) 8/3) (sin x)) (* (- 1/2 (* (cos x) 1/2)) 8/3) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x))
4.0ms
x
@-inf
((* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ 1 (sin x))) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (+ (/ 2/3 (* x x)) 1/18) (* x x)) (+ (/ 2/3 (* x x)) 1/18) (/ 2/3 (* x x)) 2/3 (* x x) 1/18 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (+ (* -1/48 (* x x)) 1/4) -1/48 1/4 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) (* (* x x) 1/6) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (* (- 1/2 (* (cos x) 1/2)) 8/3) (sin x)) (* (- 1/2 (* (cos x) 1/2)) 8/3) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x))
3.0ms
x
@0
((* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ 1 (sin x))) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (+ (/ 2/3 (* x x)) 1/18) (* x x)) (+ (/ 2/3 (* x x)) 1/18) (/ 2/3 (* x x)) 2/3 (* x x) 1/18 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (+ (* -1/48 (* x x)) 1/4) -1/48 1/4 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) (* (* x x) 1/6) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (* (- 1/2 (* (cos x) 1/2)) 8/3) (sin x)) (* (- 1/2 (* (cos x) 1/2)) 8/3) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x))

rewrite277.0ms (7.6%)

Memory
-11.1MiB live, 219.2MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621794
04191619
121261619
086311535
1261731535
Stop Event
saturated
node-limit
iter-limit
Counts
123 → 291
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64))
(/.f64 #s(literal 2/3 binary64) (*.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 1/18 binary64)
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
#s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 4/3))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 x)))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ 2/3 (pow x 2))))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ (+ 2/3 (* 1/18 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 1/18))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* -1/48 (pow x 4))))
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 1/48))))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* -1/48 (pow x 2))))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/48))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
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(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(literal 4/3 binary64))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 4/3 binary64)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 #s(literal 8/3 binary64) x))
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* (* x x) 1/18) 2/3) (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
#s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))
#s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* 1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* -1/48 (* x x)) 1/4) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#s(approx (* (* x x) 1/6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/18 binary64)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x)))
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(literal 1/18 binary64))
#s(approx (+ (/ 2/3 (* x x)) 1/18) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)))
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/48 (* x x)) 1/4) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))
#s(approx (+ (* -1/48 (* x x)) 1/4) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))

eval35.0ms (1%)

Memory
33.5MiB live, 77.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 924 to 1 496 computations (48.8% saved)

prune44.0ms (1.2%)

Memory
-55.0MiB live, 98.9MiB allocated; 13ms collecting garbage
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New27519294
Fresh111728
Picked415
Done066
Total29043333
Accuracy
99.8%
Counts
333 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
28.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
27.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
28.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
27.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
76.3%
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
76.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
52.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
52.6%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
4.4%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
52.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
4.5%
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
51.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
55.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)))
25.8%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
27.9%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
4.8%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
4.5%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
4.5%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
4.5%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
4.5%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
3.6%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
4.5%
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
4.5%
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
4.6%
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
4.3%
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
28.8%
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
51.1%
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
26.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
26.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x))
26.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x))
25.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x))
51.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
18.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))))
52.6%
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
52.6%
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
Compiler

Compiled 1 653 to 1 202 computations (27.3% saved)

regimes43.0ms (1.2%)

Memory
43.4MiB live, 89.0MiB allocated; 5ms collecting garbage
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
Calls

2 calls:

22.0ms
x
17.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
99.3%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes114.0ms (3.1%)

Memory
-23.4MiB live, 72.4MiB allocated; 12ms collecting garbage
Counts
67 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) (sin.f64 x))
Outputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
Calls

2 calls:

78.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
32.0ms
x
Results
AccuracySegmentsBranch
99.3%3(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
99.3%2x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes22.0ms (0.6%)

Memory
3.6MiB live, 48.1MiB allocated; 4ms collecting garbage
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
Outputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes31.0ms (0.9%)

Memory
33.7MiB live, 76.6MiB allocated; 6ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
Outputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)))
Calls

2 calls:

16.0ms
x
12.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
55.5%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
55.5%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes27.0ms (0.7%)

Memory
10.5MiB live, 44.8MiB allocated; 19ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
Calls

2 calls:

20.0ms
x
5.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
51.4%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
51.4%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes97.0ms (2.6%)

Memory
-68.5MiB live, 19.4MiB allocated; 110ms collecting garbage
Accuracy

Total -32.1b remaining (-103.1%)

Threshold costs -32.1b (-103.1%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)))
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64)))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Calls

2 calls:

91.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
51.3%1x
51.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch7.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
0.00057687471880168
0.06594274900180908
Samples
3.0ms64×0valid
Compiler

Compiled 147 to 147 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sin: 1.0ms (46% of total)
ival-mult!: 1.0ms (46% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch10.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.00057687471880168
0.06594274900180908
Samples
5.0ms96×0valid
Compiler

Compiled 313 to 302 computations (3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 2.0ms (61.2% of total)
ival-mult!: 1.0ms (30.6% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations210.0ms (5.7%)

Memory
-16.9MiB live, 178.4MiB allocated; 26ms collecting garbage
Stop Event
fuel
Compiler

Compiled 101 to 68 computations (32.7% saved)

preprocess93.0ms (2.5%)

Memory
-26.0MiB live, 161.4MiB allocated; 15ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 399 to 333 computations (16.5% saved)

end0.0ms (0%)

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

Profiling

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