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

Time bar (total: 23.5s)

analyze332.0ms (1.4%)

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 15 computations (16.7% saved)

sample3.7s (15.7%)

Results
1.6s2070×body1024valid
1.4s5137×body256valid
598.0ms1046×body512valid
3.0msbody2048valid
Bogosity

preprocess554.0ms (2.4%)

Algorithm
egg-herbie
Rules
697×fma-def
551×div-sub
344×associate-/r*
293×*-commutative
276×cancel-sign-sub
Problems
203×No Errors
53×(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022141
142133
278129
3170129
4461129
51424129
63265129
74478129
85120129
95536129
105680129
115734129
125741129
135741129
145741129
155785129
165785129
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (neg.f64 x)))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 8/3 (sin.f64 (neg.f64 (*.f64 x 1/2)))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (neg.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x -1/2))) (neg.f64 (sin.f64 x))) (sin.f64 (*.f64 x -1/2)))
(*.f64 -8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x -1/2)))))
(*.f64 (sin.f64 (*.f64 x -1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x))))
Compiler

Compiled 72 to 58 computations (19.4% saved)

eval3.0ms (0%)

Compiler

Compiled 161 to 109 computations (32.3% saved)

prune12.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
99.3%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
99.2%
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
99.2%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
99.2%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
80.4%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
99.3%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
99.2%
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
99.2%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
99.2%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
Compiler

Compiled 308 to 248 computations (19.5% saved)

localize833.0ms (3.5%)

Localize:

Found 40 expressions with local error:

NewAccuracyProgram
80.6%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
99.5%
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
99.6%
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
100.0%
(sin.f64 x)
99.5%
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
99.5%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
99.5%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
100.0%
(sin.f64 x)
99.3%
(/.f64 (sin.f64 x) 8/3)
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
99.5%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
100.0%
(sin.f64 x)
99.4%
(/.f64 8/3 (sin.f64 x))
99.5%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
99.5%
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
100.0%
(sin.f64 x)
99.5%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
99.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
99.7%
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
100.0%
(sin.f64 x)
100.0%
(sin.f64 x)
99.6%
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
99.5%
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
80.6%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
100.0%
(sin.f64 x)
99.5%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
99.5%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
99.5%
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
100.0%
(sin.f64 x)
99.5%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
99.3%
(/.f64 (sin.f64 x) 8/3)
100.0%
(sin.f64 x)
99.5%
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
99.5%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
99.4%
(/.f64 8/3 (sin.f64 x))
100.0%
(sin.f64 x)
99.7%
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
99.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
99.5%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 213 to 148 computations (30.5% saved)

series16.0ms (0.1%)

Counts
20 → 192
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (sin.f64 x) 8/3)
1.0ms
x
@-inf
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
1.0ms
x
@inf
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
1.0ms
x
@inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
1.0ms
x
@-inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))

rewrite502.0ms (2.1%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
704×frac-sub
430×frac-2neg
226×*-commutative
214×div-inv
207×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025318
179308
2347308
31897308
46624230
Stop Event
node limit
Counts
20 → 2402
Calls
Call 1
Inputs
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(sin.f64 x)
(/.f64 8/3 (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(sin.f64 x)
(/.f64 (sin.f64 x) 8/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(sin.f64 x)
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(sin.f64 x)
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(sin.f64 x)
Outputs
(+.f64 (*.f64 8/3 (sin.f64 x)) 0)
(+.f64 0 (*.f64 8/3 (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) (neg.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x)))))
(+.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 8/3 (sin.f64 x))))
(+.f64 (*.f64 0 (*.f64 (sin.f64 x) (/.f64 -8/3 (sin.f64 x)))) (*.f64 8/3 (sin.f64 x)))
(+.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 0) (*.f64 8/3 (sin.f64 x)))
(+.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 1/2) (*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) 0) (*.f64 8/3 (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 -8/3 (sin.f64 x))) 0) (*.f64 8/3 (sin.f64 x)))
(-.f64 0 (*.f64 (sin.f64 x) -8/3))
(-.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) (*.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(-.f64 (/.f64 0 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 x)))) (*.f64 (sin.f64 x) -8/3))
(-.f64 (/.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) 1) (/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 1))
(-.f64 (/.f64 0 (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 x)))) (*.f64 (sin.f64 x) -8/3))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (sin.f64 x) -8/3))
(-.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 3/8) (/.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)) 3/8))
(-.f64 (/.f64 0 (/.f64 -3/8 (sin.f64 x))) (*.f64 (sin.f64 x) -8/3))
(-.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) -3/8) (/.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) -3/8))
(-.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)) (/.f64 (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 8/3 (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 8/3 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 8/3 (sin.f64 x)) 1)
(/.f64 (sin.f64 x) 3/8)
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 3/8 (sin.f64 x)))
(/.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) -3/8)
(/.f64 (*.f64 (sin.f64 x) -8/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) -8/3) -1)
(/.f64 -8/3 (/.f64 -1 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 x) 2)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (/.f64 -3/8 (sin.f64 x)))
(/.f64 1 (/.f64 3/8 (sin.f64 x)))
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) 2) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 8/3 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 -8/3 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 3/4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) -3/8) 2) (neg.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 2 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (sin.f64 x)) (*.f64 3/8 (pow.f64 (sin.f64 x) -2)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 x))) (/.f64 -3/8 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 x))) (*.f64 (/.f64 -3/8 (sin.f64 x)) -3/8))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 -1 (/.f64 -3/8 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 x))) (/.f64 -3/8 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 x))) (*.f64 (/.f64 -3/8 (sin.f64 x)) 3/8))
(/.f64 (/.f64 -8/3 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) -2)))
(/.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 x) -2) -3/8))
(/.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) -2)) 3/8))
(/.f64 (/.f64 3/8 (sin.f64 x)) (*.f64 (/.f64 -3/8 (sin.f64 x)) (/.f64 -3/8 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) -3/8))
(/.f64 (*.f64 (sin.f64 x) (/.f64 -8/3 (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) -3/8) 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 64/9)) (*.f64 (sin.f64 x) -8/3))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (-.f64 (*.f64 0 (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (*.f64 0 (*.f64 (sin.f64 x) -3/8)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) -3/8)))
(/.f64 (-.f64 0 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 -8/3 (pow.f64 (sin.f64 x) 2)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
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(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (-.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 3))) (pow.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2)
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 3)) (+.f64 0 (-.f64 (pow.f64 (sin.f64 x) 2) 0)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 0 (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/2 (sin.f64 x)) 3) (pow.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (+.f64 (*.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 0 (*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (*.f64 (/.f64 -1 (sin.f64 x)) 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 1 (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) 1/2) 1)) (*.f64 (/.f64 (sin.f64 x) 1/2) (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))))
(/.f64 (-.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 x)))
(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 (cos.f64 x) -1/2))) (*.f64 (/.f64 (sin.f64 x) 1/2) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 -1/2 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) -1/2))) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (*.f64 0 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sin.f64 x))) (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 0 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 0 (pow.f64 (sin.f64 x) -2)) (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 -1 (sin.f64 x)) (pow.f64 (sin.f64 x) -2)))
(/.f64 (-.f64 (*.f64 0 (*.f64 (neg.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 2)))
(/.f64 (-.f64 (*.f64 0 (*.f64 (sin.f64 x) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 0 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 (*.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (*.f64 0 (*.f64 (neg.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (neg.f64 (-.f64 1 (cos.f64 x)))))) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 2)))
(/.f64 (-.f64 (*.f64 0 (+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) (*.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))) (*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 0 (+.f64 (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x))) (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 (pow.f64 (/.f64 -1/2 (sin.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) 3)))) (*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x))) (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) 1) (*.f64 1 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))) 1)
(/.f64 (-.f64 (*.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (/.f64 1 (sin.f64 x)) -1)
(neg.f64 (neg.f64 (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (sin.f64 x))) (*.f64 2 (log.f64 (sin.f64 x)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (sin.f64 x))) (*.f64 -1 (log.f64 (sin.f64 x)))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (sin.f64 x)))))
(exp.f64 (-.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 -1 (log.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (sin.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (sin.f64 x))) -1))
Calls

60 calls:

1.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
1.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
0.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
0.0ms
(sin.f64 x)
0.0ms
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))

simplify908.0ms (3.9%)

Algorithm
egg-herbie
Rules
574×div-sub
468×*-commutative
428×cancel-sign-sub-inv
248×cancel-sign-sub
192×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0173494168
1629793082
Stop Event
node limit
Counts
2594 → 1086
Calls
Call 1
Inputs
(*.f64 4/3 x)
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (*.f64 4/3 x))
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 4/3 x)))
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 4/3 x))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/23040 (pow.f64 x 6)) (*.f64 1/192 (pow.f64 x 4)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(/.f64 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(+.f64 (*.f64 7/135 (pow.f64 x 3)) (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 3/8 x)
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/320 (pow.f64 x 5)) (*.f64 3/8 x)))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (+.f64 (*.f64 1/320 (pow.f64 x 5)) (*.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
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(*.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) -2)) -1))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2)
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (neg.f64 (sin.f64 x)) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) -1/2) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 x) -1/2) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) -1/2)) (*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (pow.f64 (sin.f64 x) 1/2) (pow.f64 (sin.f64 x) 1/2))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) -1/2) (pow.f64 (/.f64 1 (sin.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -1) 1/2)
(/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) 1)
(/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) 2) (neg.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) -2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (-.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 3))) (pow.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2)
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 3)) (+.f64 0 (-.f64 (pow.f64 (sin.f64 x) 2) 0)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 0 (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/2 (sin.f64 x)) 3) (pow.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (+.f64 (*.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 0 (*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (*.f64 (/.f64 -1 (sin.f64 x)) 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 1 (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) 1/2) 1)) (*.f64 (/.f64 (sin.f64 x) 1/2) (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))))
(/.f64 (-.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 x)))
(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 (cos.f64 x) -1/2))) (*.f64 (/.f64 (sin.f64 x) 1/2) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 -1/2 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) -1/2))) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (*.f64 0 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sin.f64 x))) (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 0 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 0 (pow.f64 (sin.f64 x) -2)) (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 -1 (sin.f64 x)) (pow.f64 (sin.f64 x) -2)))
(/.f64 (-.f64 (*.f64 0 (*.f64 (neg.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 2)))
(/.f64 (-.f64 (*.f64 0 (*.f64 (sin.f64 x) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 0 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 (*.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (*.f64 0 (*.f64 (neg.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (neg.f64 (-.f64 1 (cos.f64 x)))))) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 2)))
(/.f64 (-.f64 (*.f64 0 (+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) (*.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))) (*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 0 (+.f64 (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x))) (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))) (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 (pow.f64 (/.f64 -1/2 (sin.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) 3)))) (*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x))) (*.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) 1) (*.f64 1 (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))) 1)
(/.f64 (-.f64 (*.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (/.f64 1 (sin.f64 x)) -1)
(neg.f64 (neg.f64 (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (sin.f64 x))) (*.f64 2 (log.f64 (sin.f64 x)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (sin.f64 x))) (*.f64 -1 (log.f64 (sin.f64 x)))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (sin.f64 x)))))
(exp.f64 (-.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 -1 (log.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (sin.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (sin.f64 x))) -1))
(exp.f64 (log.f64 (sin.f64 x)))
(log.f64 (exp.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(*.f64 1 (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(cbrt.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (/.f32 (sin.f32 (binary64->binary32 x)) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (/.f32 (*.f32 8/3 (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (/.f32 (sin.f32 (binary64->binary32 x)) (sin.f32 (*.f32 (binary64->binary32 x) 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (*.f32 8/3 (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (*.f32 (/.f32 8/3 (sin.f32 (binary64->binary32 x))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (*.f32 (/.f32 8/3 (sin.f32 (binary64->binary32 x))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 8/3 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 8/3 (sin.f64 x))))
(binary32->binary64 (/.f32 8/3 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(binary32->binary64 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3)))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 x) 8/3)))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 x) 8/3)))
(binary32->binary64 (/.f32 (sin.f32 (binary64->binary32 x)) 8/3))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (*.f32 8/3 (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(binary32->binary64 (/.f32 (*.f32 8/3 (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (*.f32 (/.f32 (*.f32 8/3 (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (binary64->binary32 x))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (*.f32 (*.f32 (/.f32 8 3) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (*.f32 (/.f32 8 3) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(binary32->binary64 (/.f32 (*.f32 (*.f32 (/.f32 8 3) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (binary64->binary32 x))))
Outputs
(*.f64 4/3 x)
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (*.f64 4/3 x))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 4/3 x))
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 4/3 x)))
(fma.f64 -1/18 (pow.f64 x 3) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 4/3 x)))
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 4/3 x))))
(fma.f64 -1/18 (pow.f64 x 3) (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 4/3 x))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/23040 (pow.f64 x 6)) (*.f64 1/192 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/23040 (pow.f64 x 6) (*.f64 1/192 (pow.f64 x 4)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/120))))
(/.f64 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(+.f64 (*.f64 7/135 (pow.f64 x 3)) (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 7/135 (pow.f64 x 3) (fma.f64 4/9 x (/.f64 8/3 x)))
(+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))))
(fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (fma.f64 4/9 x (/.f64 8/3 x))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) 1/6))
(+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (fma.f64 5/288 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/6)))
(+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 4/3 (fma.f64 61/34560 (pow.f64 x 6) (fma.f64 5/288 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/6))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/120))))
(*.f64 3/8 x)
(*.f64 x 3/8)
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/320 (pow.f64 x 5)) (*.f64 3/8 x)))
(fma.f64 -1/16 (pow.f64 x 3) (fma.f64 1/320 (pow.f64 x 5) (*.f64 x 3/8)))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (+.f64 (*.f64 1/320 (pow.f64 x 5)) (*.f64 3/8 x))))
(fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (fma.f64 1/320 (pow.f64 x 5) (*.f64 x 3/8))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) 1/6))
(+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (fma.f64 5/288 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/6)))
(+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 4/3 (fma.f64 61/34560 (pow.f64 x 6) (fma.f64 5/288 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/6))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/120))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) 1/6))
(+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 4/3 (fma.f64 5/288 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/6)))
(+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 4/3 (fma.f64 61/34560 (pow.f64 x 6) (fma.f64 5/288 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/6))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
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(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
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8/3
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8/3
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(binary32->binary64 (binary64->binary32 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(binary32->binary64 (binary64->binary32 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(binary32->binary64 (*.f32 (*.f32 (/.f32 8 3) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (*.f32 8/3 (*.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (sin.f32 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (*.f32 (/.f32 8 3) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (*.f32 8/3 (sin.f32 (*.f32 1/2 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (/.f32 (*.f32 (*.f32 (/.f32 8 3) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (*.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (*.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (/.f32 8/3 (sin.f32 (binary64->binary32 x))))))

eval1.1s (4.9%)

Compiler

Compiled 51784 to 33301 computations (35.7% saved)

prune668.0ms (2.8%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New2020352055
Fresh000
Picked415
Done000
Total2024362060
Accuracy
100.0%
Counts
2060 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(/.f64 (/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x))
58.5%
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (sin.f64 x))) (/.f64 (/.f64 -2 (sin.f64 x)) (*.f64 -8/3 (-.f64 1 (cos.f64 x))))) (sin.f64 x))
58.4%
(/.f64 (/.f64 8/3 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
58.3%
(/.f64 (-.f64 4/3 (/.f64 1/2 (/.f64 3/8 (cos.f64 x)))) (sin.f64 x))
58.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
80.1%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
49.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
80.4%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
99.2%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
97.8%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
99.3%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
72.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 (*.f64 x 1/2))))
45.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
80.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
26.9%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
59.6%
(/.f64 (log.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
44.9%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
44.9%
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
58.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
72.6%
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) 3))) (sin.f64 (*.f64 x 1/2)))
58.5%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
58.4%
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 1/2)
58.4%
(*.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))
57.9%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (log.f64 (exp.f64 (sin.f64 x))) 8/3)))
99.1%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
45.3%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 3/8)))
99.1%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))))
45.3%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (sin.f64 (*.f64 x 1/2))))
14.4%
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
50.0%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
17.9%
(*.f64 (sin.f64 x) 8/3)
45.2%
(*.f64 x 2/3)
80.4%
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
58.4%
(*.f64 1/2 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 3/8))))
59.4%
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
73.6%
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
58.5%
(/.f64 (/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x))
58.5%
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (sin.f64 x))) (/.f64 (/.f64 -2 (sin.f64 x)) (*.f64 -8/3 (-.f64 1 (cos.f64 x))))) (sin.f64 x))
58.4%
(/.f64 (/.f64 8/3 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
58.3%
(/.f64 (-.f64 4/3 (/.f64 1/2 (/.f64 3/8 (cos.f64 x)))) (sin.f64 x))
58.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
80.1%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
49.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
80.4%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
99.2%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
97.8%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
99.3%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
72.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 (*.f64 x 1/2))))
45.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
80.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
26.9%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
59.6%
(/.f64 (log.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
44.9%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
44.9%
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
58.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
72.6%
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) 3))) (sin.f64 (*.f64 x 1/2)))
58.5%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
58.4%
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 1/2)
58.4%
(*.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))
57.9%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (log.f64 (exp.f64 (sin.f64 x))) 8/3)))
99.1%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
45.3%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 3/8)))
99.1%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))))
45.3%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (sin.f64 (*.f64 x 1/2))))
14.4%
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
50.0%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
17.9%
(*.f64 (sin.f64 x) 8/3)
45.2%
(*.f64 x 2/3)
80.4%
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
58.4%
(*.f64 1/2 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 3/8))))
59.4%
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
73.6%
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
Compiler

Compiled 2206 to 1776 computations (19.5% saved)

localize1.3s (5.4%)

Localize:

Found 34 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
99.4%
(exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
99.5%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
100.0%
(sin.f64 x)
80.7%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
99.5%
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
99.6%
(*.f64 (sin.f64 x) 3/8)
100.0%
(sin.f64 x)
77.7%
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
80.6%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
99.6%
(*.f64 (cos.f64 x) -4/3)
100.0%
(sin.f64 x)
99.5%
(*.f64 x 2/3)
99.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
99.7%
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
99.8%
(/.f64 1 (sin.f64 x))
100.0%
(sin.f64 x)
99.4%
(exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))
99.3%
(/.f64 (sin.f64 x) 8/3)
59.7%
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
99.6%
(*.f64 (sin.f64 x) 3/8)
99.5%
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
80.7%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
78.1%
(-.f64 1 (cos.f64 x))
100.0%
(sin.f64 x)
99.6%
(*.f64 (cos.f64 x) -4/3)
80.6%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
77.7%
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
99.5%
(*.f64 x 2/3)
99.7%
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
99.6%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
99.6%
(/.f64 1 (/.f64 1 (sin.f64 x)))
99.5%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 204 to 135 computations (33.8% saved)

series13.0ms (0.1%)

Counts
13 → 148
Calls

39 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
2.0ms
x
@-inf
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
1.0ms
x
@inf
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
1.0ms
x
@-inf
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
1.0ms
x
@inf
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))

rewrite178.0ms (0.8%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
841×frac-times
281×frac-2neg
275×times-frac
235×associate-*r/
235×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035287
1154249
2923233
Stop Event
node limit
Counts
13 → 832
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 x 2/3)
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 (cos.f64 x) -4/3)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
Outputs
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) 1)
(*.f64 -1 (neg.f64 (sin.f64 x)))
(*.f64 -1 (pow.f64 (neg.f64 (sin.f64 x)) 1))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(*.f64 (pow.f64 (sin.f64 x) 1/2) (pow.f64 (sin.f64 x) 1/2))
(*.f64 (pow.f64 (sin.f64 x) 1/2) (*.f64 (pow.f64 (sin.f64 x) 1/2) 1))
(*.f64 (*.f64 1 (pow.f64 (sin.f64 x) 1/2)) (pow.f64 (sin.f64 x) 1/2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/2) 1) (pow.f64 (pow.f64 (sin.f64 x) 1/2) 1))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (/.f64 1 (sin.f64 x)) -1)
(pow.f64 (pow.f64 (sin.f64 x) 1/2) 2)
(pow.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1/2)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4)))) (log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4)))))
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(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1) (/.f64 -8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 -1 (sin.f64 (*.f64 x 1/2)))) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) 1/2)))
(*.f64 (pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1/2) (pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1/2))
(*.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (sin.f64 x)))) -8/3)
(*.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -1) (/.f64 -8/3 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -3/8) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))) -1)
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) -1) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) 3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) 8/3))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (/.f64 -8/3 (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 x) -3/8)))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 -1 (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))))
(/.f64 -8/3 (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 3/8 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) -8/3))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) -3/8))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (sin.f64 x))) -3/8)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x))) (/.f64 -1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 1 x))) (*.f64 (sin.f64 x) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 1 x))) 1) (*.f64 (sin.f64 x) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 1 x))) (/.f64 1 (sin.f64 x))) 3/4)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 1 x))) 8/3) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 1 x))) -1) (*.f64 (sin.f64 x) -3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 1 x))) -8/3) (*.f64 -2 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -1) (*.f64 (sin.f64 x) -3/8))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (/.f64 -1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) -3/8)
(/.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) 1) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (sin.f64 x) -3/8))
(/.f64 (*.f64 1 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 1 x))) (/.f64 8/3 (sin.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (sin.f64 x) 1/2)) (pow.f64 (sin.f64 x) 1/2))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (*.f64 -8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(neg.f64 (*.f64 1 (*.f64 -8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) -1))
(*.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))) (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 (sin.f64 x))) (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 4/3) (pow.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 4/3))
(/.f64 1 (exp.f64 (*.f64 -8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 1 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))))
(pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 2 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))))
(pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (+.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))) 2)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 8/3)
(pow.f64 (exp.f64 1) (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (sin.f64 x)))) -8/3)
(pow.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (exp.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 -8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) -8/3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (/.f64 -1 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 8/3) (/.f64 1 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))) -8/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -8/3) (/.f64 -1 (sin.f64 x)))
Calls

43 calls:

2.0ms
(/.f64 1 (/.f64 1 (sin.f64 x)))
0.0ms
(/.f64 1 (/.f64 1 (sin.f64 x)))
0.0ms
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
0.0ms
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
0.0ms
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))

simplify410.0ms (1.7%)

Algorithm
egg-herbie
Rules
594×fma-def
436×*-commutative
413×div-sub
299×+-commutative
242×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0170121474871134
1474721474870198
Stop Event
node limit
Counts
980 → 1104
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/23040 (pow.f64 x 6)) (*.f64 1/192 (pow.f64 x 4)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/540 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 2))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (+.f64 (*.f64 1/540 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 2)))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
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(pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 2 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))))
(pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (+.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4))) 2)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 8/3)
(pow.f64 (exp.f64 1) (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (sin.f64 x)))) -8/3)
(pow.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (exp.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/4)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 -8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) -8/3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (/.f64 -1 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 8/3) (/.f64 1 (sin.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))) -8/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -8/3) (/.f64 -1 (sin.f64 x)))
(exp.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(log.f64 (exp.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))) (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(*.f64 1 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))) (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))) (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))) (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))) (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(pow.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))) 1)
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (exp.f32 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 1 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (sin.f64 x))))
(binary32->binary64 (/.f32 1 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (/.f32 (/.f32 1 (/.f32 1 (sin.f32 (binary64->binary32 x)))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (/.f32 (*.f32 8/3 (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (/.f32 (/.f32 1 (/.f32 1 (sin.f32 (binary64->binary32 x)))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2)))))
(binary32->binary64 (binary64->binary32 (*.f64 x 2/3)))
(binary32->binary64 (binary64->binary32 (*.f64 x 2/3)))
(binary32->binary64 (*.f32 (binary64->binary32 x) 2/3))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) -4/3)))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) -4/3)))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 x)) -4/3))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(binary32->binary64 (/.f32 (+.f32 4/3 (*.f32 (cos.f32 (binary64->binary32 x)) -4/3)) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(binary32->binary64 (binary64->binary32 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(binary32->binary64 (+.f32 4/3 (*.f32 (cos.f32 (binary64->binary32 x)) -4/3)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/8)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/8)))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) 3/8))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(binary32->binary64 (/.f32 1 (*.f32 (*.f32 (sin.f32 (binary64->binary32 x)) 3/8) 2)))
(binary32->binary64 (binary64->binary32 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))))
(binary32->binary64 (*.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (/.f32 1 (*.f32 (*.f32 (sin.f32 (binary64->binary32 x)) 3/8) 2))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(binary32->binary64 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (exp.f32 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3)))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3)))
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 1/192 (pow.f64 x 4)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/23040 (pow.f64 x 6)) (*.f64 1/192 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/23040 (pow.f64 x 6) (*.f64 1/192 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) 2) (fma.f64 1/192 (pow.f64 x 4) (*.f64 -1/23040 (pow.f64 x 6))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/18))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/540 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 2))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (*.f64 2/3 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 2/3 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/540)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (+.f64 (*.f64 1/540 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 2)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/30240 (pow.f64 x 8) (fma.f64 1/540 (pow.f64 x 6) (*.f64 2/3 (*.f64 x x)))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 -1/30240 (pow.f64 x 8) (fma.f64 2/3 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/540))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
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(exp.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(log.f64 (exp.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))) (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 1 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))) (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))) (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))) (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))) (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (exp.f64 (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))) 2)))
(pow.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))) 1)
(pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))))
(binary32->binary64 (exp.f32 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3)))))
(binary32->binary64 (pow.f32 (exp.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x)))) (*.f32 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))) 8/3)))
(binary32->binary64 (pow.f32 (exp.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x)))) (*.f32 8/3 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 1 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (sin.f64 x))))
(binary32->binary64 (/.f32 1 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(binary32->binary64 (/.f32 (/.f32 1 (/.f32 1 (sin.f32 (binary64->binary32 x)))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (/.f32 (sin.f32 (binary64->binary32 x)) (sin.f32 (*.f32 1/2 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (/.f32 (*.f32 8/3 (sin.f32 (*.f32 (binary64->binary32 x) 1/2))) (/.f32 (/.f32 1 (/.f32 1 (sin.f32 (binary64->binary32 x)))) (sin.f32 (*.f32 (binary64->binary32 x) 1/2)))))
(binary32->binary64 (/.f32 (*.f32 8/3 (sin.f32 (*.f32 1/2 (binary64->binary32 x)))) (/.f32 (sin.f32 (binary64->binary32 x)) (sin.f32 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (*.f64 x 2/3)))
(binary32->binary64 (binary64->binary32 (*.f64 x 2/3)))
(binary32->binary64 (*.f32 (binary64->binary32 x) 2/3))
(binary32->binary64 (*.f32 2/3 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) -4/3)))
(binary32->binary64 (binary64->binary32 (*.f64 -4/3 (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) -4/3)))
(binary32->binary64 (binary64->binary32 (*.f64 -4/3 (cos.f64 x))))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 x)) -4/3))
(binary32->binary64 (*.f32 -4/3 (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(binary32->binary64 (/.f32 (+.f32 4/3 (*.f32 (cos.f32 (binary64->binary32 x)) -4/3)) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (/.f32 (+.f32 4/3 (*.f32 -4/3 (cos.f32 (binary64->binary32 x)))) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (/.f32 (fma.f32 -4/3 (cos.f32 (binary64->binary32 x)) 4/3) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(binary32->binary64 (binary64->binary32 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(binary32->binary64 (binary64->binary32 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(binary32->binary64 (binary64->binary32 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(binary32->binary64 (+.f32 4/3 (*.f32 (cos.f32 (binary64->binary32 x)) -4/3)))
(binary32->binary64 (+.f32 4/3 (*.f32 -4/3 (cos.f32 (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 -4/3 (cos.f32 (binary64->binary32 x)) 4/3))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/8)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/8)))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) 3/8))
(binary32->binary64 (*.f32 3/8 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (/.f32 1 (*.f32 (*.f32 (sin.f32 (binary64->binary32 x)) 3/8) 2)))
(binary32->binary64 (/.f32 1 (*.f32 (sin.f32 (binary64->binary32 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (*.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (/.f32 1 (*.f32 (*.f32 (sin.f32 (binary64->binary32 x)) 3/8) 2))))
(binary32->binary64 (*.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (/.f32 1 (*.f32 (sin.f32 (binary64->binary32 x)) 3/4))))
(binary32->binary64 (*.f32 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))) 4/3))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(binary32->binary64 (binary64->binary32 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3))))
(binary32->binary64 (/.f32 (*.f32 8/3 (sin.f32 (*.f32 1/2 (binary64->binary32 x)))) (/.f32 (sin.f32 (binary64->binary32 x)) (sin.f32 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))))
(binary32->binary64 (exp.f32 (*.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3)))))
(binary32->binary64 (pow.f32 (exp.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x)))) (*.f32 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))) 8/3)))
(binary32->binary64 (pow.f32 (exp.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x)))) (*.f32 8/3 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) (/.f32 (sin.f32 (binary64->binary32 x)) 8/3)))
(binary32->binary64 (*.f32 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))) 8/3))
(binary32->binary64 (*.f32 8/3 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x)))))

eval1.1s (4.7%)

Compiler

Compiled 51479 to 34803 computations (32.4% saved)

prune511.0ms (2.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New213792146
Fresh28230
Picked325
Done101
Total2169132182
Accuracy
100.0%
Counts
2182 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
58.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
58.5%
(/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3/4))
58.5%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
58.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
99.7%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
99.5%
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
58.4%
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1 (cos.f64 x))))
58.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
17.9%
(*.f64 (sin.f64 x) 8/3)
45.2%
(*.f64 x 2/3)
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
4.0%
(log.f64 1)
80.4%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
58.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
58.5%
(/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3/4))
58.5%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
58.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
99.7%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
99.5%
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
58.4%
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1 (cos.f64 x))))
58.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
17.9%
(*.f64 (sin.f64 x) 8/3)
45.2%
(*.f64 x 2/3)
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
4.0%
(log.f64 1)
Compiler

Compiled 424 to 354 computations (16.5% saved)

localize590.0ms (2.5%)

Localize:

Found 24 expressions with local error:

NewAccuracyProgram
78.1%
(-.f64 1 (cos.f64 x))
80.6%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
99.8%
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
100.0%
(sin.f64 x)
78.1%
(-.f64 1 (cos.f64 x))
80.7%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
99.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
100.0%
(sin.f64 x)
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
100.0%
(tan.f64 (/.f64 x 2))
99.7%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
100.0%
(tan.f64 (/.f64 x 2))
100.0%
(sin.f64 x)
99.8%
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
80.6%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
78.1%
(-.f64 1 (cos.f64 x))
100.0%
(sin.f64 x)
99.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
80.7%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
78.1%
(-.f64 1 (cos.f64 x))
100.0%
(tan.f64 (/.f64 x 2))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
100.0%
(tan.f64 (/.f64 x 2))
99.7%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
Compiler

Compiled 90 to 56 computations (37.8% saved)

series5.0ms (0%)

Counts
8 → 88
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
1.0ms
x
@-inf
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
0.0ms
x
@0
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.0ms
x
@-inf
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)

rewrite374.0ms (1.6%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
715×div-sub
442×cancel-sign-sub-inv
204×frac-times
200×swap-sqr
164×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019118
181118
2461118
34166118
Stop Event
node limit
Counts
8 → 1584
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(tan.f64 (/.f64 x 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
Outputs
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 0 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3))
(+.f64 0 (*.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1) (/.f64 -1 (sin.f64 x))))
(+.f64 0 (*.f64 (neg.f64 (-.f64 -1 (/.f64 (cos.f64 x) -1))) (/.f64 4/3 (sin.f64 x))))
(+.f64 0 (*.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 x) -1) -1)) (/.f64 -4/3 (sin.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 -1 (tan.f64 x)) -3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 4/3 (/.f64 -1 (tan.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) -4/3)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 -1 (tan.f64 x)) 4/3))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) -4/3) (/.f64 1 (sin.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 -4/3 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x))))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1) (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (-.f64 -1 (/.f64 (cos.f64 x) -1))) (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 x) -1) -1)) (/.f64 -4/3 (sin.f64 x))))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1) (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (neg.f64 (-.f64 -1 (/.f64 (cos.f64 x) -1))) (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 x) -1) -1)) (/.f64 -4/3 (sin.f64 x))))
(-.f64 0 (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 0 (/.f64 (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4) 1))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 -1 (tan.f64 x)) -3/4))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) 3/4))
(-.f64 (/.f64 0 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))) (/.f64 (*.f64 (pow.f64 (tan.f64 x) -2) (-.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 3/4 (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)) (/.f64 1 (*.f64 (sin.f64 x) -3/4)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -3/4 (/.f64 1 (sin.f64 x)))) (/.f64 1 (/.f64 -3/4 (/.f64 1 (sin.f64 x)))))
(-.f64 (/.f64 0 (/.f64 -3/4 (/.f64 1 (sin.f64 x)))) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 0 (*.f64 3/4 (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 1 (*.f64 (neg.f64 (sin.f64 x)) -3/4)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) -3/4)))
(-.f64 (/.f64 0 (*.f64 (neg.f64 (sin.f64 x)) -3/4)) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 (/.f64 0 (neg.f64 (sin.f64 x))) 3/4) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (sin.f64 x)) 3/4) (/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) -2) (-.f64 1 (cos.f64 x))) (sin.f64 x)) 3/4))
(-.f64 (/.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (sin.f64 x)) 3/4) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (sin.f64 x)) 3/4))
(-.f64 (/.f64 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) 3/4) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) 3/4))
(-.f64 (/.f64 (/.f64 1 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) 3/4) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) 3/4))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) -2) (/.f64 -1 (tan.f64 (*.f64 x -1/2)))) 3/4) (/.f64 (/.f64 (pow.f64 (tan.f64 x) -2) (/.f64 -1 (tan.f64 (*.f64 x -1/2)))) 3/4))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) -3) (+.f64 (pow.f64 (sin.f64 x) -2) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 (*.f64 x -1/2)))))) 3/4) (/.f64 (/.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) -2) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 (*.f64 x -1/2)))))) 3/4))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) -3/4)) (/.f64 (*.f64 (pow.f64 (tan.f64 x) -2) (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) -3/4)))
(-.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 (neg.f64 (sin.f64 x)) -3/4)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 (neg.f64 (sin.f64 x)) -3/4)))
(-.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) -3/4))) (/.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) -3/4))))
(-.f64 (/.f64 0 (neg.f64 (*.f64 (sin.f64 x) -3/4))) (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (*.f64 (sin.f64 x) -3/4))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) -3/4))) (/.f64 (*.f64 (pow.f64 (tan.f64 x) -2) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) -3/4))))
(-.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (neg.f64 (*.f64 (sin.f64 x) -3/4))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (neg.f64 (*.f64 (sin.f64 x) -3/4))))
(-.f64 (/.f64 0 (/.f64 (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) (sin.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3/4) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) -2) (-.f64 1 (cos.f64 x))) 3/4) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4) (sin.f64 x)) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 1 (*.f64 3/4 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 3/4 (+.f64 1 (cos.f64 x)))) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 1 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 16/9 (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 64/27 (+.f64 16/9 (*.f64 (*.f64 4/3 (cos.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27) (+.f64 16/9 (*.f64 (*.f64 4/3 (cos.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 0 (sin.f64 x)) -3/4) (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
(-.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))) -3/4) (/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) -2) (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))) -3/4))
(-.f64 (/.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (neg.f64 (sin.f64 x))) -3/4) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (neg.f64 (sin.f64 x))) -3/4))
(-.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) -3/4) (neg.f64 (sin.f64 x))) (/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) -2) (-.f64 1 (cos.f64 x))) -3/4) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) -3/4) (neg.f64 (sin.f64 x))) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) -3/4) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 3/4 (/.f64 -1 (sin.f64 x)))) (/.f64 1 (/.f64 3/4 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 0 (/.f64 3/4 (/.f64 -1 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 3/4 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 -1 (/.f64 3/4 (/.f64 -1 (sin.f64 x)))) (/.f64 (neg.f64 (cos.f64 x)) (/.f64 3/4 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 -1 (/.f64 -3/4 (/.f64 1 (sin.f64 x)))) (/.f64 (neg.f64 (cos.f64 x)) (/.f64 -3/4 (/.f64 1 (sin.f64 x)))))
(-.f64 (/.f64 1/2 (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (sin.f64 x))))
(-.f64 (/.f64 1 (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 1/2 (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 (*.f64 3/4 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 9) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
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(-.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 9) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)))
(-.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 9) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)))
(-.f64 (/.f64 0 (neg.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 0 (*.f64 -3/4 (+.f64 1 (cos.f64 x)))) (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(-.f64 (/.f64 0 (*.f64 3/4 (-.f64 -1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 3/4 (-.f64 -1 (cos.f64 x)))))
(-.f64 (/.f64 0 (neg.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 0 (*.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(-.f64 (/.f64 0 (*.f64 3/4 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 3/4 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 4) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (cos.f64 x) 9) (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3)))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) (/.f64 (pow.f64 (cos.f64 x) 6) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (cos.f64 x) 6) (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(*.f64 (+.f64 (cos.f64 x) -1) -4/3)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 3/4 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 4/3))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 4/3))
(*.f64 -1 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(*.f64 -4/3 (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (*.f64 4/3 (cos.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))
(*.f64 (/.f64 (sin.f64 x) 3/4) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1/2) (pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1/2))
(*.f64 (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2)) (*.f64 (-.f64 -1 (cos.f64 x)) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 3/4) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 4/3 (/.f64 (pow.f64 (cos.f64 x) 3) 3/4)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(neg.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1))
Calls

28 calls:

1.0ms
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.0ms
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.0ms
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
0.0ms
(tan.f64 (/.f64 x 2))
0.0ms
(tan.f64 (/.f64 x 2))

simplify679.0ms (2.9%)

Algorithm
egg-herbie
Rules
603×associate-*r/
446×associate-*l/
407×fma-def
376×associate-/l/
372×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0163175070
1417869394
Stop Event
node limit
Counts
1672 → 871
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/540 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 2))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (+.f64 (*.f64 1/540 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 2)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 0 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3))
(+.f64 0 (*.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1) (/.f64 -1 (sin.f64 x))))
(+.f64 0 (*.f64 (neg.f64 (-.f64 -1 (/.f64 (cos.f64 x) -1))) (/.f64 4/3 (sin.f64 x))))
(+.f64 0 (*.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 x) -1) -1)) (/.f64 -4/3 (sin.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 -1 (tan.f64 x)) -3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 4/3 (/.f64 -1 (tan.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) -4/3)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 -1 (tan.f64 x)) 4/3))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) -4/3) (/.f64 1 (sin.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 -4/3 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x))))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1) (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (-.f64 -1 (/.f64 (cos.f64 x) -1))) (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 0 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 x) -1) -1)) (/.f64 -4/3 (sin.f64 x))))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1) (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (neg.f64 (-.f64 -1 (/.f64 (cos.f64 x) -1))) (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 (neg.f64 (-.f64 (/.f64 (cos.f64 x) -1) -1)) (/.f64 -4/3 (sin.f64 x))))
(-.f64 0 (/.f64 (tan.f64 (*.f64 x -1/2)) 3/4))
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(-.f64 (/.f64 1/2 (/.f64 3/4 (/.f64 1 (+.f64 1 (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (/.f64 3/4 (/.f64 1 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 3/4 (/.f64 1 (+.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 3/4 (/.f64 1 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 3/4 (/.f64 1 (+.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 3/4 (/.f64 1 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) 4/3)) (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (+.f64 1 (cos.f64 x)) 4/3)))
(-.f64 (/.f64 1/2 (/.f64 (+.f64 1 (cos.f64 x)) 4/3)) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 x)) 4/3)))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 1 (cos.f64 x)) 4/3)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 1 (cos.f64 x)) 4/3)))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 (+.f64 1 (cos.f64 x)) 4/3)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 (+.f64 1 (cos.f64 x)) 4/3)))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(-.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 9) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(-.f64 (/.f64 1 (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 9) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 3/4 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)))
(-.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 9) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3)))
(-.f64 (/.f64 0 (neg.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 0 (*.f64 -3/4 (+.f64 1 (cos.f64 x)))) (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(-.f64 (/.f64 0 (*.f64 3/4 (-.f64 -1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 3/4 (-.f64 -1 (cos.f64 x)))))
(-.f64 (/.f64 0 (neg.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 0 (*.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(-.f64 (/.f64 0 (*.f64 3/4 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 3/4 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 4) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (cos.f64 x) 9) (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 6)) (pow.f64 (cos.f64 x) 3)))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) (/.f64 (pow.f64 (cos.f64 x) 6) (*.f64 (*.f64 3/4 (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))))
(-.f64 (/.f64 1 (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (cos.f64 x) 6) (*.f64 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(*.f64 (+.f64 (cos.f64 x) -1) -4/3)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 3/4 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 4/3))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 4/3))
(*.f64 -1 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(*.f64 -4/3 (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (*.f64 4/3 (cos.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))
(*.f64 (/.f64 (sin.f64 x) 3/4) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1/2) (pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1/2))
(*.f64 (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2)) (*.f64 (-.f64 -1 (cos.f64 x)) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 3/4) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 4/3 (/.f64 (pow.f64 (cos.f64 x) 3) 3/4)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(neg.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) 1)
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) 3/4))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (/.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3/4))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (*.f32 4/3 (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)))
(binary32->binary64 (*.f32 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))) 4/3))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (-.f32 1 (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) 3/4))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))))
(binary32->binary64 (/.f32 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) 3/4) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (-.f32 1 (cos.f32 (binary64->binary32 x))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(fma.f64 (pow.f64 x 7) 17/40320 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
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(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 4/3))
(-.f64 (/.f64 4/3 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(*.f64 (/.f64 4/3 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 -1 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(-.f64 (/.f64 16/9 (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 16/9)))
(/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(*.f64 -4/3 (+.f64 (cos.f64 x) -1))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 3/4 (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(-.f64 (/.f64 4/3 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(*.f64 (/.f64 4/3 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (*.f64 4/3 (cos.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))
(-.f64 (/.f64 64/27 (+.f64 16/9 (*.f64 4/3 (*.f64 (cos.f64 x) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27) (+.f64 16/9 (*.f64 4/3 (*.f64 (cos.f64 x) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))))
(/.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 4/3 (*.f64 (cos.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) 16/9))
(*.f64 (/.f64 (sin.f64 x) 3/4) (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3/4)
(*.f64 (pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1/2) (pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1/2))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (/.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(/.f64 (*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2)))
(/.f64 (*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2)))
(*.f64 (/.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2)) (*.f64 (-.f64 -1 (cos.f64 x)) (cos.f64 x))))
(*.f64 (+.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 2)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))) (/.f64 4/3 (/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 2))) 4/3) (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 3/4) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 3/4 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 4/3 (/.f64 (pow.f64 (cos.f64 x) 3) 3/4)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(-.f64 (/.f64 4/3 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(*.f64 (/.f64 4/3 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(neg.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(fma.f64 (cos.f64 x) -4/3 4/3)
(neg.f64 (*.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 1))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(cbrt.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))))
(cbrt.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) 2)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) 1)
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) 3/4))
(binary32->binary64 (-.f32 4/3 (/.f32 (cos.f32 (binary64->binary32 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (/.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3/4))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (*.f32 4/3 (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (*.f32 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))) 4/3))
(binary32->binary64 (*.f32 4/3 (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (-.f32 1 (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) 3/4)))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) 3/4))
(binary32->binary64 (-.f32 4/3 (/.f32 (cos.f32 (binary64->binary32 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (/.f32 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) 3/4) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (/.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3/4))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (-.f32 1 (cos.f32 (binary64->binary32 x))))

eval1.3s (5.4%)

Compiler

Compiled 48243 to 30267 computations (37.3% saved)

prune436.0ms (1.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New215452159
Fresh336
Picked145
Done112
Total2159132172
Accuracy
100.0%
Counts
2172 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
58.5%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
45.4%
(/.f64 (*.f64 x 1/2) 3/4)
99.7%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
99.1%
(/.f64 (sin.f64 x) (*.f64 3/4 (+.f64 1 (cos.f64 x))))
99.4%
(/.f64 4/3 (/.f64 -1 (tan.f64 (*.f64 x -1/2))))
99.5%
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
58.3%
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
58.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
17.9%
(*.f64 (sin.f64 x) 8/3)
45.2%
(*.f64 x 2/3)
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
4.0%
(log.f64 1)
99.6%
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
58.5%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
45.4%
(/.f64 (*.f64 x 1/2) 3/4)
99.7%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
99.1%
(/.f64 (sin.f64 x) (*.f64 3/4 (+.f64 1 (cos.f64 x))))
99.4%
(/.f64 4/3 (/.f64 -1 (tan.f64 (*.f64 x -1/2))))
99.5%
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
58.3%
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
58.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
17.9%
(*.f64 (sin.f64 x) 8/3)
45.2%
(*.f64 x 2/3)
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
4.0%
(log.f64 1)
Compiler

Compiled 346 to 288 computations (16.8% saved)

localize924.0ms (3.9%)

Localize:

Found 26 expressions with local error:

NewAccuracyProgram
78.1%
(-.f64 1 (cos.f64 x))
80.7%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
99.6%
(*.f64 (sin.f64 x) 3/4)
100.0%
(sin.f64 x)
99.4%
(/.f64 4/3 (sin.f64 x))
99.4%
(/.f64 -4/3 (tan.f64 x))
100.0%
(sin.f64 x)
100.0%
(tan.f64 x)
99.6%
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
99.7%
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
100.0%
(tan.f64 (/.f64 x 2))
99.6%
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
100.0%
(sin.f64 x)
99.6%
(*.f64 (sin.f64 x) 3/4)
80.7%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
78.1%
(-.f64 1 (cos.f64 x))
100.0%
(sin.f64 x)
99.4%
(/.f64 -4/3 (tan.f64 x))
99.4%
(/.f64 4/3 (sin.f64 x))
58.4%
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
100.0%
(tan.f64 (/.f64 x 2))
99.7%
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
99.6%
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
99.6%
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
Compiler

Compiled 117 to 79 computations (32.5% saved)

series11.0ms (0%)

Counts
9 → 100
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
2.0ms
x
@-inf
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
2.0ms
x
@inf
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
1.0ms
x
@0
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
1.0ms
x
@-inf
(/.f64 3/4 (tan.f64 (/.f64 x 2)))

rewrite146.0ms (0.6%)

Algorithm
rewrite-once
batch-egg-rewrite
Rules
662×frac-add
334×associate-*r/
303×frac-2neg
223×div-inv
219×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028193
1135145
2953145
Stop Event
node limit
Counts
9 → 596
Calls
Call 1
Inputs
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
(/.f64 4/3 (sin.f64 x))
(/.f64 -4/3 (tan.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(*.f64 (sin.f64 x) 3/4)
Outputs
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 4/3 (tan.f64 x))) (/.f64 4/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 4/3 (tan.f64 x)))
(-.f64 0 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 (*.f64 16/9 (pow.f64 (sin.f64 x) -2)) (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))) (/.f64 (*.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x))) (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))))
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(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (+.f64 (*.f64 3/4 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) -3/4) (cos.f64 x))) (*.f64 16/9 (pow.f64 (sin.f64 x) -2)))
(*.f64 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))) -1)
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2))
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2) 1))
(*.f64 (-.f64 (*.f64 16/9 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)))) (/.f64 1 (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) -3/4))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 4/3 (sin.f64 x)))) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (/.f64 4/3 (tan.f64 x)) 3)) (/.f64 1 (fma.f64 16/9 (pow.f64 (sin.f64 x) -2) (fma.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)) (/.f64 (/.f64 -16/9 (tan.f64 x)) (neg.f64 (sin.f64 x)))))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 3/4) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3/4) (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -1) (/.f64 -4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 3/4 (sin.f64 x))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (*.f64 1 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2)) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2))
(*.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (/.f64 -1 (sin.f64 x)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) -1)
(neg.f64 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 -1 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(fma.f64 -4/3 (/.f64 -1 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 4/3 (neg.f64 (/.f64 4/3 (tan.f64 x))))
(-.f64 0 (/.f64 (sin.f64 x) -4/3))
(/.f64 3/4 (/.f64 1 (sin.f64 x)))
(/.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 4/3 (sin.f64 x)) 1))
(/.f64 (sin.f64 x) 4/3)
(/.f64 -1 (neg.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 -1 (/.f64 -4/3 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) -3/4) -1)
(/.f64 -3/4 (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) -4/3)
(/.f64 (*.f64 3/4 (sin.f64 x)) 1)
(pow.f64 (/.f64 4/3 (sin.f64 x)) -1)
(neg.f64 (*.f64 (sin.f64 x) -3/4))
Calls

31 calls:

1.0ms
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
0.0ms
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
0.0ms
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
0.0ms
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
0.0ms
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))

simplify260.0ms (1.1%)

Algorithm
egg-herbie
Rules
804×times-frac
740×associate-/r*
535×*-commutative
466×associate-/l*
378×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102523294
1259521554
Stop Event
node limit
Counts
696 → 582
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 -1/483840 (pow.f64 x 7)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 3/2 x)
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 -1/20160 (pow.f64 x 5)) (*.f64 3/2 (/.f64 1 x)))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 4/3 x)
(+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))
(+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (*.f64 31/11340 (pow.f64 x 5)) (+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))))
(/.f64 -4/3 x)
(-.f64 (*.f64 4/9 x) (*.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 4/135 (pow.f64 x 3)) (*.f64 4/9 x)) (*.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8/2835 (pow.f64 x 5)) (+.f64 (*.f64 4/135 (pow.f64 x 3)) (*.f64 4/9 x))) (*.f64 4/3 (/.f64 1 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 3/4 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/160 (pow.f64 x 5)) (*.f64 3/4 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/6720 (pow.f64 x 7)) (+.f64 (*.f64 1/160 (pow.f64 x 5)) (*.f64 3/4 x))))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 4/3 (tan.f64 x))) (/.f64 4/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 4/3 (tan.f64 x)))
(-.f64 0 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 (*.f64 16/9 (pow.f64 (sin.f64 x) -2)) (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))) (/.f64 (*.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x))) (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 3/4 (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 0 (neg.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))))
(-.f64 (/.f64 0 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(-.f64 (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 (*.f64 3/4 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 9/16)) (/.f64 (*.f64 3/4 (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 9/16)))
(-.f64 (/.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (fma.f64 16/9 (pow.f64 (sin.f64 x) -2) (fma.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)) (/.f64 (/.f64 -16/9 (tan.f64 x)) (neg.f64 (sin.f64 x)))))) (/.f64 (pow.f64 (/.f64 4/3 (tan.f64 x)) 3) (fma.f64 16/9 (pow.f64 (sin.f64 x) -2) (fma.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)) (/.f64 (/.f64 -16/9 (tan.f64 x)) (neg.f64 (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) 1) (/.f64 (/.f64 4/3 (tan.f64 x)) 1))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -4/3 (/.f64 -1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 -4/3 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 -4/3 (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(*.f64 -1 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 -1 (*.f64 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))) 1))
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(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 4/3 (tan.f64 x))) (/.f64 4/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 4/3 (tan.f64 x)))
(-.f64 0 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 (*.f64 16/9 (pow.f64 (sin.f64 x) -2)) (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))) (/.f64 (*.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x))) (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 3/4 (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 0 (*.f64 (sin.f64 x) -3/4)) (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 0 (neg.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))))
(-.f64 (/.f64 0 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(-.f64 (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))
(-.f64 (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(-.f64 (/.f64 (*.f64 3/4 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 9/16)) (/.f64 (*.f64 3/4 (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 9/16)))
(-.f64 (/.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (fma.f64 16/9 (pow.f64 (sin.f64 x) -2) (fma.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)) (/.f64 (/.f64 -16/9 (tan.f64 x)) (neg.f64 (sin.f64 x)))))) (/.f64 (pow.f64 (/.f64 4/3 (tan.f64 x)) 3) (fma.f64 16/9 (pow.f64 (sin.f64 x) -2) (fma.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)) (/.f64 (/.f64 -16/9 (tan.f64 x)) (neg.f64 (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) 1) (/.f64 (/.f64 4/3 (tan.f64 x)) 1))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -4/3 (/.f64 -1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 -4/3 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 -4/3 (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(*.f64 -1 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 -1 (*.f64 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) 1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -4/3 (sin.f64 x)) 1))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 -4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 4/3 (/.f64 -1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (*.f64 3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (+.f64 (*.f64 3/4 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) -3/4) (cos.f64 x))) (*.f64 16/9 (pow.f64 (sin.f64 x) -2)))
(*.f64 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))) -1)
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2))
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2) 1))
(*.f64 (-.f64 (*.f64 16/9 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)))) (/.f64 1 (-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) -3/4))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 4/3 (sin.f64 x)))) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (/.f64 4/3 (tan.f64 x)) 3)) (/.f64 1 (fma.f64 16/9 (pow.f64 (sin.f64 x) -2) (fma.f64 (/.f64 4/3 (tan.f64 x)) (/.f64 4/3 (tan.f64 x)) (/.f64 (/.f64 -16/9 (tan.f64 x)) (neg.f64 (sin.f64 x)))))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 3/4) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 3/4) (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -1) (/.f64 -4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 3/4 (sin.f64 x))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (*.f64 1 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2)) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2))
(*.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (/.f64 -1 (sin.f64 x)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) -1)
(neg.f64 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 -1 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(fma.f64 -4/3 (/.f64 -1 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 4/3 (neg.f64 (/.f64 4/3 (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 1)
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (*.f32 (sin.f32 (binary64->binary32 x)) 3/4)))
(-.f64 0 (/.f64 (sin.f64 x) -4/3))
(/.f64 3/4 (/.f64 1 (sin.f64 x)))
(/.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 4/3 (sin.f64 x)) 1))
(/.f64 (sin.f64 x) 4/3)
(/.f64 -1 (neg.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 -1 (/.f64 -4/3 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) -3/4) -1)
(/.f64 -3/4 (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) -4/3)
(/.f64 (*.f64 3/4 (sin.f64 x)) 1)
(pow.f64 (/.f64 4/3 (sin.f64 x)) -1)
(neg.f64 (*.f64 (sin.f64 x) -3/4))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 1 (*.f64 (sin.f64 x) 3/4))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (*.f64 (sin.f64 x) 3/4)) (*.f64 (sin.f64 x) 3/4)))
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1)
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) 3/4))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) 3/4))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))))
(binary32->binary64 (/.f32 (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) 3/4) (cos.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (/.f32 3/4 (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (/.f32 1 (/.f32 3/4 (tan.f32 (/.f32 (binary64->binary32 x) 2)))))
(binary32->binary64 (binary64->binary32 (tan.f64 x)))
(binary32->binary64 (binary64->binary32 (tan.f64 x)))
(binary32->binary64 (tan.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 -4/3 (tan.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 -4/3 (tan.f64 x))))
(binary32->binary64 (/.f32 -4/3 (tan.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 4/3 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 4/3 (sin.f64 x))))
(binary32->binary64 (/.f32 4/3 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) 3/4))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (*.f32 (sin.f32 (binary64->binary32 x)) 3/4)))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (-.f32 1 (cos.f32 (binary64->binary32 x))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
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(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1))
(*.f64 (/.f64 (sin.f64 x) (*.f64 3/4 (sin.f64 x))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 -4/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 1 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2)) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2))
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (/.f64 -1 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) -1)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 -1 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 4/3 (tan.f64 x)))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 4/3 (tan.f64 x)))
(fma.f64 -4/3 (/.f64 -1 (sin.f64 x)) (neg.f64 (/.f64 4/3 (tan.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 4/3 (tan.f64 x)))
(fma.f64 (/.f64 1 (sin.f64 x)) 4/3 (neg.f64 (/.f64 4/3 (tan.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 4/3 (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(cbrt.f64 (*.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) (*.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))))
(cbrt.f64 (*.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (*.f32 (sin.f32 (binary64->binary32 x)) 3/4)))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (*.f32 3/4 (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (/.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3/4))
(-.f64 0 (/.f64 (sin.f64 x) -4/3))
(*.f64 3/4 (sin.f64 x))
(/.f64 3/4 (/.f64 1 (sin.f64 x)))
(*.f64 3/4 (sin.f64 x))
(/.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 3/4 (sin.f64 x))
(/.f64 1 (/.f64 (/.f64 4/3 (sin.f64 x)) 1))
(*.f64 3/4 (sin.f64 x))
(/.f64 (sin.f64 x) 4/3)
(*.f64 3/4 (sin.f64 x))
(/.f64 -1 (neg.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 3/4 (sin.f64 x))
(/.f64 -1 (/.f64 -4/3 (sin.f64 x)))
(*.f64 3/4 (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) -3/4) -1)
(*.f64 3/4 (sin.f64 x))
(/.f64 -3/4 (/.f64 -1 (sin.f64 x)))
(*.f64 3/4 (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) -4/3)
(*.f64 3/4 (sin.f64 x))
(/.f64 (*.f64 3/4 (sin.f64 x)) 1)
(*.f64 3/4 (sin.f64 x))
(pow.f64 (/.f64 4/3 (sin.f64 x)) -1)
(*.f64 3/4 (sin.f64 x))
(neg.f64 (*.f64 (sin.f64 x) -3/4))
(*.f64 3/4 (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 3/4 (sin.f64 x))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 3/4 (sin.f64 x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 3/4 (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 3/4 (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 3/4 (sin.f64 x))
(*.f64 1 (*.f64 (sin.f64 x) 3/4))
(*.f64 3/4 (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 3/4 (sin.f64 x))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (*.f64 (sin.f64 x) 3/4)) (*.f64 (sin.f64 x) 3/4)))
(cbrt.f64 (*.f64 (*.f64 3/4 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 9/16))))
(cbrt.f64 (*.f64 (*.f64 3/4 (sin.f64 x)) (pow.f64 (*.f64 3/4 (sin.f64 x)) 2)))
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1)
(*.f64 3/4 (sin.f64 x))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 3/4 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 3/4 (sin.f64 x))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) 3/4))
(binary32->binary64 (*.f32 3/4 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)))
(binary32->binary64 (binary64->binary32 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) 3/4))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) 3/4))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))))
(binary32->binary64 (/.f32 (/.f32 (sin.f32 (*.f32 (binary64->binary32 x) 1/2)) 3/4) (cos.f32 (*.f32 (binary64->binary32 x) 1/2))))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (*.f32 (cos.f32 (*.f32 1/2 (binary64->binary32 x))) 3/4)))
(binary32->binary64 (/.f32 (sin.f32 (*.f32 1/2 (binary64->binary32 x))) (*.f32 3/4 (cos.f32 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (/.f32 3/4 (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (/.f32 1 (/.f32 3/4 (tan.f32 (/.f32 (binary64->binary32 x) 2)))))
(binary32->binary64 (*.f32 4/3 (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 x)))
(binary32->binary64 (binary64->binary32 (tan.f64 x)))
(binary32->binary64 (tan.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 -4/3 (tan.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 -4/3 (tan.f64 x))))
(binary32->binary64 (/.f32 -4/3 (tan.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 4/3 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (/.f64 4/3 (sin.f64 x))))
(binary32->binary64 (/.f32 4/3 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 3/4 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) 3/4)))
(binary32->binary64 (binary64->binary32 (*.f64 3/4 (sin.f64 x))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) 3/4))
(binary32->binary64 (*.f32 3/4 (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(binary32->binary64 (binary64->binary32 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (*.f32 (sin.f32 (binary64->binary32 x)) 3/4)))
(binary32->binary64 (/.f32 (-.f32 1 (cos.f32 (binary64->binary32 x))) (*.f32 3/4 (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (/.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3/4))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 1 (cos.f64 x))))
(binary32->binary64 (-.f32 1 (cos.f32 (binary64->binary32 x))))

eval1.1s (4.6%)

Compiler

Compiled 32238 to 20395 computations (36.7% saved)

prune329.0ms (1.4%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New153741541
Fresh123
Picked145
Done055
Total1539151554
Accuracy
100.0%
Counts
1554 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
45.4%
(/.f64 (*.f64 x 1/2) 3/4)
99.7%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
99.1%
(/.f64 (sin.f64 x) (*.f64 3/4 (+.f64 1 (cos.f64 x))))
99.4%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
45.3%
(/.f64 1 (/.f64 3/2 x))
99.5%
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
45.7%
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
99.4%
(/.f64 1 (*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4))
58.3%
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
58.5%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
17.9%
(*.f64 (sin.f64 x) 8/3)
45.2%
(*.f64 x 2/3)
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
4.0%
(log.f64 1)
Compiler

Compiled 854 to 635 computations (25.6% saved)

regimes71.0ms (0.3%)

Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(log.f64 1)
(*.f64 (sin.f64 x) 8/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
(/.f64 4/3 (/.f64 -1 (tan.f64 (*.f64 x -1/2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(/.f64 1 (*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(+.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 -4/3 (tan.f64 x)))
(/.f64 (sin.f64 x) (*.f64 3/4 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 1/2)
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 4/3 (/.f64 1/2 (/.f64 3/8 (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 8/3 (/.f64 2 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x))
(*.f64 1/2 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 3/8))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x 3/8)))
(*.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3/4))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (sin.f64 x))) (/.f64 (/.f64 -2 (sin.f64 x)) (*.f64 -8/3 (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (log.f64 (exp.f64 (sin.f64 x))) 8/3)))
(/.f64 (log.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) 3))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))
Outputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
Calls

2 calls:

29.0ms
x
24.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 752 to 548 computations (27.1% saved)

regimes9.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(log.f64 1)
(*.f64 (sin.f64 x) 8/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
Outputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes17.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(log.f64 1)
(*.f64 (sin.f64 x) 8/3)
Outputs
(*.f64 (sin.f64 x) 8/3)
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(*.f64 (sin.f64 x) 8/3)
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
53.9%3x
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes7.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(log.f64 1)
Outputs
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
45.7%1x
Compiler

Compiled 29 to 23 computations (20.7% saved)

regimes5.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
(/.f64 (*.f64 x 1/2) 3/4)
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
45.4%1x
Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 1 (/.f64 3/2 x))
Outputs
(/.f64 1 (/.f64 3/2 x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
45.3%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
Outputs
(*.f64 x 2/3)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
45.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch71.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
5.442384134038457e-7
3.3371573188750068
33.0ms
-3.5859476681872837
-0.0011876903706021897
Results
67.0ms272×body256valid
Compiler

Compiled 344 to 289 computations (16% saved)

simplify48.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
1-exp
if-if-or-not
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038165
155165
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(if (<=.f64 x -3602879701896397/1125899906842624) (*.f64 (sin.f64 x) 8/3) (if (<=.f64 x 6980579422424269/2251799813685248) (/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))) (*.f64 (sin.f64 x) 8/3)))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (/.f64 3/2 x))
(*.f64 x 2/3)
Outputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(if (<=.f64 x -3602879701896397/1125899906842624) (*.f64 (sin.f64 x) 8/3) (if (<=.f64 x 6980579422424269/2251799813685248) (/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))) (*.f64 (sin.f64 x) 8/3)))
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 6980579422424269/2251799813685248))) (*.f64 (sin.f64 x) 8/3) (/.f64 1 (+.f64 (*.f64 x -1/8) (*.f64 3/2 (/.f64 1 x)))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(/.f64 1 (+.f64 (*.f64 x -1/8) (*.f64 3/2 (/.f64 1 x))))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (/.f64 3/2 x))
(*.f64 x 2/3)
Compiler

Compiled 67 to 55 computations (17.9% saved)

soundness4.9s (20.8%)

Rules
841×frac-times
841×frac-times
704×frac-sub
704×frac-sub
697×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022141
142133
278129
3170129
4461129
51424129
63265129
74478129
85120129
95536129
105680129
115734129
125741129
135741129
145741129
155785129
165785129
025318
179308
2347308
31897308
46624230
035287
1154249
2923233
0173494168
1629793082
035287
1154249
2923233
0163175070
1417869394
025318
179308
2347308
31897308
46624230
0170121474871134
1474721474870198
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 606 to 459 computations (24.3% saved)

end0.0ms (0%)

preprocess133.0ms (0.6%)

Compiler

Compiled 190 to 154 computations (18.9% saved)

Profiling

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