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

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze189.0ms (5.4%)

Memory
51.7MiB live, 282.2MiB allocated; 59ms 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)

sample1.2s (34.7%)

Memory
5.1MiB live, 1 380.6MiB allocated; 294ms collecting garbage
Samples
983.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 702.0ms
ival-sin: 444.0ms (63.2% of total)
ival-mult!: 174.0ms (24.8% of total)
ival-div!: 82.0ms (11.7% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess43.0ms (1.2%)

Memory
-26.0MiB live, 20.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
14443
213242
343742
498742
5206242
6412042
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.7%
(/.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
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Counts
11 → 27
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 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin 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
3.0ms
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))
2.0ms
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))

rewrite245.0ms (7.1%)

Memory
-3.1MiB live, 179.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151542
0163506
1784506
06081484
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
38 → 57
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 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin 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 (-.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 #s(literal 8/3 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)) (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 #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 (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 #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)))
(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))))
(*.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)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (sin 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) 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))

eval7.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 603 to 269 computations (55.4% saved)

prune14.0ms (0.4%)

Memory
0.2MiB live, 42.4MiB allocated; 5ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New481664
Fresh000
Picked101
Done000
Total491665
Accuracy
99.7%
Counts
65 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(/.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))
56.1%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
54.5%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))) (sin.f64 x))
80.7%
(/.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))
29.3%
(/.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))
28.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
29.8%
(/.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))
55.6%
(*.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))
99.2%
(*.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)))
55.6%
(*.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)))
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)) (sin.f64 x)))
99.2%
(*.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))))
47.6%
#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))
47.6%
#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))
47.5%
#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))
47.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 518 to 470 computations (9.3% saved)

series22.0ms (0.6%)

Memory
16.3MiB live, 56.3MiB allocated; 13ms collecting garbage
Counts
28 → 87
Calls
Call 1
Inputs
(*.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))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
#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 (-.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 #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 (*.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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
Outputs
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (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)) (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 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 (* 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 (* 2/3 x) #s(hole binary64 (* 2/3 x)))
#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) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (- 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 (* 1/2 (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))
#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 (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (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 (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (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 (* (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 (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 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (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 (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#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 (/ (* (- 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))))) 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)))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 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))))) 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)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2)) (* x 1/2))
4.0ms
x
@-inf
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 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))))) 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)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2)) (* x 1/2))
4.0ms
x
@0
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 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))))) 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)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2)) (* x 1/2))

rewrite233.0ms (6.7%)

Memory
-43.7MiB live, 256.6MiB allocated; 87ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03211946
03601753
115511753
081701677
Stop Event
iter-limit
node-limit
iter-limit
Counts
115 → 222
Calls
Call 1
Inputs
(*.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))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
#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 (-.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 #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 (*.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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (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)) (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 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 (* 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 (* 2/3 x) #s(hole binary64 (* 2/3 x)))
#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) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (- 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 (* 1/2 (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))
#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 (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (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 (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (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 (* (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 (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 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (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 (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#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 (/ (* (- 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))))) 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)))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
Outputs
(*.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 (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 #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 (/.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 (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 #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 (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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #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 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.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 (-.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 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 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 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(literal 8/3 binary64)
(/.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 x)
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.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 (neg.f64 (neg.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))) (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 x x) #s(literal 2/3 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.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 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 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 (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 #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 (/.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 (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 #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 (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))))
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#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* 2/3 x) (*.f64 #s(literal 2/3 binary64) 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 (-.f64 (*.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 (-.f64 (*.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) 2/3) (*.f64 (*.f64 x x) #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) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (- 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 (-.f64 (*.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 (-.f64 (*.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 #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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (* 2 (* 1/2 x)) x)
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (- 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 (-.f64 (*.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 (-.f64 (*.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 (* (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 (-.f64 (*.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 (-.f64 (*.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 (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
#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 (-.f64 (*.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 (*.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 1/2) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.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))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (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)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.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))))
#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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin 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)))
#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))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.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))))
#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 (* (sin (* 1/2 x)) 8/3) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))

eval23.0ms (0.7%)

Memory
4.1MiB live, 49.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 911 to 817 computations (57.2% saved)

prune24.0ms (0.7%)

Memory
1.6MiB live, 48.5MiB allocated; 2ms collecting garbage
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New17822200
Fresh8311
Picked145
Done000
Total18729216
Accuracy
99.8%
Counts
216 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.8%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
55.6%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.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))
55.0%
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.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))
55.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 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))))))) #s(literal 8/3 binary64)) (sin.f64 x))
4.9%
(/.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(approx (sin x) x))
55.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (sin.f64 x))
4.1%
(/.f64 (*.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)) (sin.f64 x))
55.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #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)))
55.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (sin.f64 x)))
80.7%
(/.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))
54.5%
(/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
54.1%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
28.4%
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
28.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
29.8%
(/.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))
28.7%
(/.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)))
29.1%
(/.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) x))
27.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
29.8%
(/.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))
55.6%
(*.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))
99.2%
(*.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)))
55.6%
(*.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)))
74.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
99.2%
(*.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))))
53.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
47.6%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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))
47.5%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
47.6%
#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))
47.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 968 to 863 computations (10.8% saved)

series17.0ms (0.5%)

Memory
33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Counts
37 → 106
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)
(/.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) 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)
#s(literal 2/3 binary64)
#s(approx (sin x) x)
(/.f64 (*.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)) (sin.f64 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))
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))
(cos.f64 #s(approx (* 2 (* 1/2 x)) x))
#s(approx (* 2 (* 1/2 x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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))) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin 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))) (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 (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (- 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 (* 1/2 (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))
#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 (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 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 (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 4/135 (pow x 2)) 2/9))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 4/135 (* -2/945 (pow x 2)))) 2/9))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 1/4))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 1 x)) #s(hole binary64 1))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* -5/12 (pow x 2))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 17/240 (pow x 2)) 5/12))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 17/240 (* -13/2016 (pow x 2)))) 5/12))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#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))) (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 (/ (* (- 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))))) 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)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/4 (* 1/4 (pow (cos x) 2))) (* (sin x) (+ 1/2 (* 1/2 (cos x))))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 8/3 (- 1/4 (* 1/4 (pow (cos x) 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (- 1/4 (* 1/4 (pow (cos x) 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (* 1/4 (pow (cos x) 2))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 1 x)) #s(hole binary64 (cos x)))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* (sin x) (+ 1/2 (* 1/2 (cos x))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (cos x)))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 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)))) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 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)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))
5.0ms
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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 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)))) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 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)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))
3.0ms
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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 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)))) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 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)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))

rewrite178.0ms (5.1%)

Memory
3.7MiB live, 245.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04162486
04612113
121662113
091202009
Stop Event
iter-limit
node-limit
iter-limit
Counts
143 → 315
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)
(/.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) 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)
#s(literal 2/3 binary64)
#s(approx (sin x) x)
(/.f64 (*.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)) (sin.f64 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))
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))
(cos.f64 #s(approx (* 2 (* 1/2 x)) x))
#s(approx (* 2 (* 1/2 x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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))) (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)) (* (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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin 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))) (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 (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (- 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 (* 1/2 (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))
#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 (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 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 (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 4/135 (pow x 2)) 2/9))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 4/135 (* -2/945 (pow x 2)))) 2/9))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 1/4))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 1 x)) #s(hole binary64 1))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* -5/12 (pow x 2))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 17/240 (pow x 2)) 5/12))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 17/240 (* -13/2016 (pow x 2)))) 5/12))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#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))) (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 (/ (* (- 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))))) 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)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/4 (* 1/4 (pow (cos x) 2))) (* (sin x) (+ 1/2 (* 1/2 (cos x))))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 8/3 (- 1/4 (* 1/4 (pow (cos x) 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (- 1/4 (* 1/4 (pow (cos x) 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (* 1/4 (pow (cos x) 2))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 1 x)) #s(hole binary64 (cos x)))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* (sin x) (+ 1/2 (* 1/2 (cos x))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (cos x)))))
Outputs
(*.f64 (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 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 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(*.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(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(*.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)))
(*.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 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(*.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 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))))
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x
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#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

eval55.0ms (1.6%)

Memory
-29.1MiB live, 63.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 308 to 1 202 computations (63.7% saved)

prune26.0ms (0.7%)

Memory
34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New26913282
Fresh71320
Picked235
Done044
Total27833311
Accuracy
99.8%
Counts
311 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.8%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
55.0%
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))))) #s(literal 8/3 binary64)) (sin.f64 x))
55.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 #s(approx (* 2 (* 1/2 x)) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 8/3 binary64)) (sin.f64 x))
55.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
55.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (sin.f64 x))
4.1%
(/.f64 (*.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 (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
55.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
80.7%
(/.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))
54.5%
(/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
54.1%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
28.4%
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
28.8%
(/.f64 #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 (sin x) x))
4.9%
(/.f64 #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))) #s(approx (sin x) x))
28.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
29.8%
(/.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))
28.7%
(/.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)))
29.1%
(/.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) x))
27.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
27.0%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
29.8%
(/.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))
55.6%
(*.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))
55.3%
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
99.2%
(*.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)))
55.6%
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
55.3%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
99.2%
(*.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))
74.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
99.2%
(*.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))))
53.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
47.6%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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))
47.5%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
47.6%
#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))
47.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 071 to 964 computations (10% saved)

series45.0ms (1.3%)

Memory
-20.5MiB live, 26.2MiB allocated; 3ms collecting garbage
Counts
47 → 172
Calls
Call 1
Inputs
(*.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.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))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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)
#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 (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)
(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))
(*.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)
(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))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
#s(literal 1/180 binary64)
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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)))
(*.f64 (fma.f64 (-.f64 (*.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))
(fma.f64 (-.f64 (*.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 (*.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 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64))
#s(literal -1/80640 binary64)
#s(literal 1/1440 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
Outputs
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 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 (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (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 (* 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 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#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))) (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 (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* 1/18 x)))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* x (+ 1/18 (* 1/180 (pow x 2))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* x (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 1/18))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* 1/180 (pow x 2)))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 1/180))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 (+ 1/180 (* 17/30240 (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 (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x 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 (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/48)))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* 1/1440 (pow x 2))))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2))))))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 1/1440))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 (+ 1/1440 (* -1/80640 (pow x 2)))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 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 (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 1/4))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ (+ 8/3 (* 10/9 (pow x 2))) x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 10/9 (* 37/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 10/9 (* (pow x 2) (+ 37/135 (* 239/4536 (pow x 2))))))) x)))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 x))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* x (+ 1 (* -5/12 (pow x 2))))))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 17/240 (pow x 2)) 5/12))))))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 17/240 (* -13/2016 (pow x 2)))) 5/12))))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#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 (* (+ (* (* 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))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* 17/30240 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* 17/30240 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* 17/30240 (pow x 5))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* (pow x 5) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* (pow x 5) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (* 17/30240 (pow x 4))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 (* 17/30240 (pow x 2))))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 (* (pow x 2) (+ 17/30240 (* 1/180 (/ 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 (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* -1/80640 (pow x 8))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 8) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* -1/80640 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (* -1/80640 (pow x 4))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* -1/80640 (pow x 4))))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 (* -1/80640 (pow x 2))))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 (* (pow x 2) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* 8/3 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (+ 1/2 (* 1/2 (cos x))))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ 8/3 (* (sin x) (+ 1/2 (* 1/2 (cos x)))))))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* (sin x) (+ 1/2 (* 1/2 (cos x))))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))))
Calls

3 calls:

TimeVariablePointExpression
26.0ms
x
@0
((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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)) (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (+ (* 17/30240 (* x x)) 1/180) 17/30240 1/180 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) (+ (* -1/80640 (* x x)) 1/1440) -1/80640 1/1440 1/48 1/4 (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (* (+ (* (cos x) 1/2) 1/2) (sin x)) (+ (* (cos x) 1/2) 1/2) (cos x))
8.0ms
x
@inf
((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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)) (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (+ (* 17/30240 (* x x)) 1/180) 17/30240 1/180 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) (+ (* -1/80640 (* x x)) 1/1440) -1/80640 1/1440 1/48 1/4 (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (* (+ (* (cos x) 1/2) 1/2) (sin x)) (+ (* (cos x) 1/2) 1/2) (cos x))
7.0ms
x
@-inf
((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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)) (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (+ (* 17/30240 (* x x)) 1/180) 17/30240 1/180 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) (+ (* -1/80640 (* x x)) 1/1440) -1/80640 1/1440 1/48 1/4 (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (* (+ (* (cos x) 1/2) 1/2) (sin x)) (+ (* (cos x) 1/2) 1/2) (cos x))

rewrite269.0ms (7.7%)

Memory
-3.0MiB live, 184.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06154395
06834067
131174039
0107983940
Stop Event
iter-limit
node-limit
iter-limit
Counts
219 → 524
Calls
Call 1
Inputs
(*.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.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))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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)
#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 (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)
(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))
(*.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)
(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))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
#s(literal 1/180 binary64)
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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)))
(*.f64 (fma.f64 (-.f64 (*.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))
(fma.f64 (-.f64 (*.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 (*.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 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64))
#s(literal -1/80640 binary64)
#s(literal 1/1440 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 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 (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (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 (* 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 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#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))) (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 (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* 1/18 x)))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* x (+ 1/18 (* 1/180 (pow x 2))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* x (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 1/18))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* 1/180 (pow x 2)))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 1/180))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 (+ 1/180 (* 17/30240 (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 (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x 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 (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/48)))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* 1/1440 (pow x 2))))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2))))))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 1/1440))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 (+ 1/1440 (* -1/80640 (pow x 2)))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 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 (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 1/4))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ (+ 8/3 (* 10/9 (pow x 2))) x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 10/9 (* 37/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 10/9 (* (pow x 2) (+ 37/135 (* 239/4536 (pow x 2))))))) x)))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 x))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* x (+ 1 (* -5/12 (pow x 2))))))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 17/240 (pow x 2)) 5/12))))))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 17/240 (* -13/2016 (pow x 2)))) 5/12))))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#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 (* (+ (* (* 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))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* 17/30240 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* 17/30240 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) #s(hole binary64 (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* 17/30240 (pow x 5))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* (pow x 5) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* (pow x 5) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (* 17/30240 (pow x 4))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) #s(hole binary64 (* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 (* 17/30240 (pow x 2))))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(hole binary64 (* (pow x 2) (+ 17/30240 (* 1/180 (/ 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 (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* -1/80640 (pow x 8))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 8) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* -1/80640 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) #s(hole binary64 (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (* -1/80640 (pow x 4))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/80640 (/ 1/48 (pow x 4)))))))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* -1/80640 (pow x 4))))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 (* -1/80640 (pow x 2))))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) #s(hole binary64 (* (pow x 2) (- (* 1/1440 (/ 1 (pow x 2))) 1/80640))))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) #s(hole binary64 (* 8/3 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (+ 1/2 (* 1/2 (cos x))))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) #s(hole binary64 (/ 8/3 (* (sin x) (+ 1/2 (* 1/2 (cos x)))))))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) #s(hole binary64 (* (sin x) (+ 1/2 (* 1/2 (cos x))))))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))))
Outputs
(*.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 (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 (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 (-.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 #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 (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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #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 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.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 (-.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 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (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)) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))
(/.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 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
#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)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)) (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) (*.f64 (*.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 #s(literal 2/3 binary64) x (*.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))
(fma.f64 x #s(literal 2/3 binary64) (*.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))
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#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1260 binary64) (*.f64 x x) #s(literal 1/90 binary64)) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(literal 1/4 binary64))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/90 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 #s(literal 8/3 binary64) x))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 (fma.f64 #s(literal 37/135 binary64) (*.f64 x x) #s(literal 10/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 239/4536 binary64) (*.f64 x x) #s(literal 37/135 binary64)) (*.f64 x x) #s(literal 10/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) x)
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) (*.f64 (fma.f64 #s(literal -5/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 17/240 binary64) (*.f64 x x)) #s(literal 5/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -13/2016 binary64) (*.f64 x x) #s(literal 17/240 binary64)) (*.f64 x x)) #s(literal 5/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (cos x) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (cos x) 1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (cos x) 1/2) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (cos x) 1/2) 1/2) (fma.f64 (-.f64 (*.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 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.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 1/2))) (sin (* x 1/2))) (sin x)) (*.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))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (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))) (sin.f64 x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin 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)))
#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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.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))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal 17/30240 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (*.f64 (+.f64 (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2/3 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 17/30240 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal 17/30240 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2/3 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 17/30240 binary64)))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal 17/30240 binary64))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 17/30240 binary64)))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))
#s(approx (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal 17/30240 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 17/30240 (* x x)) 1/180) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))
#s(approx (+ (* 17/30240 (* x x)) 1/180) (*.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 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 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 (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/80640 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (* x x)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) #s(literal 1/80640 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/80640 binary64)))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (* x x)) 1/4) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) #s(literal 1/80640 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/80640 binary64)))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (*.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) 1/48) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/80640 binary64)))
#s(approx (* (+ (* -1/80640 (* x x)) 1/1440) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) (*.f64 (*.f64 x x) #s(literal -1/80640 binary64)))
#s(approx (+ (* -1/80640 (* x x)) 1/1440) (*.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/80640 binary64)) (*.f64 x x)))
#s(approx (* (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x)))) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64)))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
#s(approx (* (+ (* (cos x) 1/2) 1/2) (sin x)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
#s(approx (+ (* (cos x) 1/2) 1/2) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x))) #s(literal 17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) x) 2/3) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 17/30240 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x))) #s(literal 17/30240 binary64)) (pow.f64 x #s(literal 5 binary64)))))

eval192.0ms (5.5%)

Memory
-4.5MiB live, 155.6MiB allocated; 143ms collecting garbage
Compiler

Compiled 8 621 to 3 443 computations (60.1% saved)

prune74.0ms (2.1%)

Memory
-1.1MiB live, 96.3MiB allocated; 10ms collecting garbage
Pruning

44 alts after pruning (34 fresh and 10 done)

PrunedKeptTotal
New61216628
Fresh31821
Picked235
Done077
Total61744661
Accuracy
99.9%
Counts
661 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.8%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
55.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 #s(approx (* 2 (* 1/2 x)) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 8/3 binary64)) (sin.f64 x))
55.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
55.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (sin.f64 x))
4.1%
(/.f64 (*.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 (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
55.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
80.7%
(/.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))
54.5%
(/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
54.1%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
28.1%
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 8/3 binary64)) (sin.f64 x))
28.4%
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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)))
28.8%
(/.f64 #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 (sin x) x))
4.9%
(/.f64 #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))) #s(approx (sin x) x))
28.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
29.8%
(/.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))
28.7%
(/.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)))
29.1%
(/.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) x))
27.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
27.0%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
29.8%
(/.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))
55.6%
(*.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))
55.3%
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
55.3%
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
99.2%
(*.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)))
55.3%
(*.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
55.6%
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
55.5%
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
55.3%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)))
4.7%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
99.1%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 8/3 binary64))
99.2%
(*.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))
74.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
99.2%
(*.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))))
53.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
28.4%
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
47.6%
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
47.5%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
47.6%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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))
47.5%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
27.3%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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))
18.1%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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))))
47.6%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
47.6%
#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))
47.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 555 to 1 114 computations (28.4% saved)

regimes45.0ms (1.3%)

Memory
2.8MiB live, 93.2MiB allocated; 12ms collecting garbage
Counts
68 → 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))
(/.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) 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 #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 (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (*.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 (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 (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 (*.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)) (sin.f64 x))
(/.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 #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))) #s(approx (sin x) 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)) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #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))) (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 1/2 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 (-.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 1/2 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 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (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 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 (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 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.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 (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 8/3 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #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 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.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 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 #s(approx (* 2 (* 1/2 x)) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 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))))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.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))
Outputs
(*.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))))
Calls

2 calls:

20.0ms
(/.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))
20.0ms
x
Results
AccuracySegmentsBranch
99.2%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))
99.2%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes84.0ms (2.4%)

Memory
-21.9MiB live, 77.6MiB allocated; 10ms collecting garbage
Counts
41 → 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))
(/.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) 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 #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 (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (*.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 (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 (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 (*.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)) (sin.f64 x))
(/.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 #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))) #s(approx (sin x) 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)) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #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))) (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 1/2 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 (-.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 1/2 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 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (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)))
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:

68.0ms
(/.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))
14.0ms
x
Results
AccuracySegmentsBranch
99.2%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))
99.2%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes24.0ms (0.7%)

Memory
39.0MiB live, 86.0MiB allocated; 2ms collecting garbage
Counts
40 → 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))
(/.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) 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 #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 (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (*.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 (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 (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 (*.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)) (sin.f64 x))
(/.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 #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))) #s(approx (sin x) 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)) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #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))) (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 1/2 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 (-.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 1/2 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 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
Calls

2 calls:

12.0ms
x
10.0ms
(/.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%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)

regimes13.0ms (0.4%)

Memory
-11.2MiB live, 35.8MiB allocated; 1ms collecting garbage
Counts
38 → 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))
(/.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) 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 #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 (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (*.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 (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 (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 (*.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)) (sin.f64 x))
(/.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 #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))) #s(approx (sin x) 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)) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #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))) (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 1/2 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 (-.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 1/2 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))
Outputs
#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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(literal 8/3 binary64)) (sin.f64 x))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes34.0ms (1%)

Memory
-20.3MiB live, 25.5MiB allocated; 3ms collecting garbage
Counts
30 → 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))
(/.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) 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 #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 (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (*.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 (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 (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 (*.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)) (sin.f64 x))
(/.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 #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))) #s(approx (sin x) 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)) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
Outputs
#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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
Calls

1 calls:

32.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0.5%)

Memory
34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Counts
29 → 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))
(/.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) 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 #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 (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (*.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 (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 (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 (*.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)) (sin.f64 x))
(/.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 #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))) #s(approx (sin x) 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)) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (* (+ (* (cos x) 1/2) 1/2) (sin x))) (/.f64 (fma.f64 #s(literal 10/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 8/3 binary64)) (sin.f64 x))
Outputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
Calls

2 calls:

8.0ms
x
7.0ms
(/.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
53.3%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))
53.3%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes36.0ms (1%)

Memory
-24.2MiB live, 26.0MiB allocated; 4ms collecting garbage
Accuracy

Total -29.7b remaining (-88.8%)

Threshold costs -29.7b (-88.8%)

Counts
16 → 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))
(/.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) 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 #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 (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (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 (*.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 (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 (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x) x)))
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:

30.0ms
(/.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
47.7%1x
47.7%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)

bsearch5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
1.3008107624118886e-93
3.917078275964448e-93
Samples
2.0ms48×0valid
Compiler

Compiled 97 to 93 computations (4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sin: 1.0ms (72.7% of total)
ival-mult!: 1.0ms (72.7% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch15.0ms (0.4%)

Memory
-15.3MiB live, 30.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0026120599670757597
0.14406512986728018
Samples
9.0ms112×0valid
Compiler

Compiled 271 to 260 computations (4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 2.0ms (49.8% of total)
ival-mult!: 1.0ms (24.9% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0026120599670757597
0.14406512986728018
Compiler

Compiled 236 to 225 computations (4.7% saved)

derivations194.0ms (5.6%)

Memory
7.9MiB live, 253.6MiB allocated; 24ms collecting garbage
Stop Event
fuel
Compiler

Compiled 91 to 65 computations (28.6% saved)

preprocess141.0ms (4.1%)

Memory
9.6MiB live, 295.8MiB allocated; 28ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 405 to 348 computations (14.1% saved)

end0.0ms (0%)

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

Profiling

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