Lanczos kernel

Time bar (total: 4.0s)

start0.0ms (0%)

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

analyze25.0ms (0.6%)

Memory
-31.2MiB live, 16.5MiB allocated; 12ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample842.0ms (21%)

Memory
54.8MiB live, 827.1MiB allocated; 188ms collecting garbage
Samples
609.0ms8 252×0valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 440.0ms
ival-sinu: 132.0ms (30% of total)
ival-sin: 126.0ms (28.6% of total)
ival-mult!: 109.0ms (24.8% of total)
ival-div!: 70.0ms (15.9% of total)
adjust: 2.0ms (0.5% of total)
ival-<=: 1.0ms (0.2% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

preprocess65.0ms (1.6%)

Memory
-14.4MiB live, 30.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
1156128
21235116
36712116
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Symmetry

(abs x)

(abs tau)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series141.0ms (3.5%)

Memory
-0.9MiB live, 94.6MiB allocated; 31ms collecting garbage
Counts
10 → 33
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau (PI.f32)))))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx (* x (PI)) (*.f32 x (PI.f32)))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x (PI.f32)))))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx tau tau)
Calls

6 calls:

TimeVariablePoint
6.0ms
tau
inf
5.0ms
x
-inf
4.0ms
x
inf
4.0ms
tau
-inf
4.0ms
x
0

rewrite147.0ms (3.7%)

Memory
28.0MiB live, 73.4MiB allocated; 5ms collecting garbage
Counts
10 → 23
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) tau)
(/.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
tau
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))

eval10.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 824 to 329 computations (82% saved)

prune22.0ms (0.6%)

Memory
-26.5MiB live, 19.2MiB allocated; 4ms collecting garbage
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New301646
Fresh000
Picked011
Done000
Total301747
Accuracy
99.2%
Counts
47 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
92.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
92.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
61.5%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
80.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))))
75.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
60.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 047 to 566 computations (45.9% saved)

series187.0ms (4.6%)

Memory
10.1MiB live, 145.7MiB allocated; 56ms collecting garbage
Counts
43 → 62
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal -1/6 binary32)
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(pow.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
#s(literal -1/5040 binary32)
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))
(pow.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))
#s(literal 1/120 binary32)
(pow.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (sin (* x (* (PI) tau))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau (PI.f32)))))
#s(approx (sin (* x (* (PI) tau))) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* x (* (PI) tau))) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (* -1/6 (* (pow x 2) (pow (PI) 2))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow x 2) (pow (PI) 2)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(approx (pow x 2) (pow.f32 x #s(literal 2 binary32)))
#s(approx (/ (sin (* x (PI))) x) (PI.f32))
#s(approx (/ (sin (* x (PI))) x) (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))
#s(approx (/ (sin (* x (PI))) x) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
#s(approx (/ (sin (* x (PI))) x) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
#s(approx (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(approx (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))
#s(approx (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
#s(approx (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
#s(approx (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))
#s(approx (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
#s(approx (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
#s(approx (* (pow x 2) (pow (PI) 6)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
#s(approx (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
#s(approx (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))))
#s(approx (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
#s(approx (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
#s(approx (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (sin (* x (* (PI) tau))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x (PI.f32)))))
#s(approx (sin (* x (* (PI) tau))) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* x (* (PI) tau))) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx (* (PI) tau) (*.f32 tau (PI.f32)))
#s(approx tau tau)
Calls

6 calls:

TimeVariablePoint
6.0ms
x
0
5.0ms
x
-inf
5.0ms
x
inf
3.0ms
tau
-inf
2.0ms
tau
inf

rewrite754.0ms (18.8%)

Memory
5.0MiB live, 407.1MiB allocated; 267ms collecting garbage
Counts
43 → 1 478
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal -1/6 binary32)
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(pow.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
#s(literal -1/5040 binary32)
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))
(pow.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))
#s(literal 1/120 binary32)
(pow.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) x) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
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(fma.f32 x (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
(fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
(fma.f32 #s(literal 1/120 binary32) (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (*.f32 x #s(literal -1/5040 binary32)) x) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x #s(literal -1/5040 binary32)) x) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/5040 binary32)) x) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal -1/120 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/5040 binary32)) x) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 #s(literal -1/120 binary32) (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 (*.f32 x #s(literal -1/5040 binary32)) x) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
(fma.f32 (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 1/120 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
(fma.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal -1/120 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
(fma.f32 #s(literal -1/120 binary32) (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
(fma.f32 #s(literal 1/120 binary32) (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))
(fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 1/120 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal -1/120 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 #s(literal -1/120 binary32) (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 #s(literal 1/120 binary32) (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal -1/5040 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (*.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal -1/5040 binary32)))
(fma.f32 (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 1/120 binary32) (*.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal -1/5040 binary32)))
(fma.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal -1/120 binary32) (*.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal -1/5040 binary32)))
(fma.f32 #s(literal -1/120 binary32) (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal -1/5040 binary32)))
(fma.f32 #s(literal 1/120 binary32) (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal -1/5040 binary32)))
(neg.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/120 binary32))))
#s(literal -1/5040 binary32)
(neg.f32 #s(literal 1/5040 binary32))
(*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 x x))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fabs.f32 x)) (fabs.f32 x))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x)
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (neg.f32 x)) (neg.f32 x))
(*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x))
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) (pow.f32 (PI.f32) #s(literal 6 binary32))))
(pow.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))
(*.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal -1/120 binary32))
(*.f32 #s(literal -1/120 binary32) (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))))
(*.f32 (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/120 binary32)))
#s(literal 1/120 binary32)
(neg.f32 #s(literal -1/120 binary32))
(pow.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) #s(literal 1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) #s(literal 2 binary32) #s(literal 2 binary32))

eval119.0ms (3%)

Memory
8.5MiB live, 190.5MiB allocated; 28ms collecting garbage
Compiler

Compiled 49 320 to 5 085 computations (89.7% saved)

prune93.0ms (2.3%)

Memory
-1.0MiB live, 97.3MiB allocated; 20ms collecting garbage
Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New1 218381 256
Fresh8311
Picked415
Done011
Total1 230431 273
Accuracy
99.7%
Counts
1 273 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32))
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
68.7%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (sin.f32 (*.f32 x (PI.f32)))) x)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32))))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) x) (PI.f32)))
79.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) x) (PI.f32)))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (neg.f32 x)) (neg.f32 x)))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
79.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
77.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
82.2%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.9%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
61.4%
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
75.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
60.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 104 to 1 246 computations (40.8% saved)

series250.0ms (6.2%)

Memory
12.3MiB live, 148.1MiB allocated; 21ms collecting garbage
Counts
39 → 81
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32))
#s(approx (/ (sin (* x (PI))) x) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))
#s(literal 1 binary32)
(*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))
(*.f32 x #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau))
(neg.f32 tau)
(/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))
Outputs
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau (PI.f32)))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx (* tau x) (*.f32 tau x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (/ (sin (* x (PI))) x) (PI.f32))
#s(approx (/ (sin (* x (PI))) x) (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))
#s(approx (/ (sin (* x (PI))) x) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
#s(approx (/ (sin (* x (PI))) x) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (* (* (* x -1/6) (* x (PI))) (PI)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (* x -1/6) (* x (PI))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))
#s(approx (* x -1/6) (*.f32 #s(literal -1/6 binary32) x))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (* (* (PI) (PI)) x) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(approx (* (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/ (sin (neg (* x (* (PI) tau)))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
#s(approx (* (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/ (sin (neg (* x (* (PI) tau)))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))))
#s(approx (* (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/ (sin (neg (* x (* (PI) tau)))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal 1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) tau)) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) tau) (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) tau)))) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) tau) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) (*.f32 #s(literal 1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) tau)))))) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (fma.f32 #s(literal -1 binary32) tau (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (fma.f32 #s(literal -1 binary32) tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (fma.f32 #s(literal -1 binary32) tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))
#s(approx (sin (neg (* x (* (PI) tau)))) (*.f32 #s(literal -1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (neg (* x (* (PI) tau)))) (*.f32 x (fma.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
#s(approx (sin (neg (* x (* (PI) tau)))) (*.f32 x (fma.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))))
#s(approx (sin (neg (* x (* (PI) tau)))) (*.f32 x (fma.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (* (* tau x) (PI))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
#s(approx (+ 1 (* (* (* x -1/6) (* x (PI))) (PI))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/ (sin (neg (* x (* (PI) tau)))) (* x (PI)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (/.f32 (sin.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))))
#s(approx (sin (neg (* x (* (PI) tau)))) (sin.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x (PI.f32)))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx tau tau)
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (* (PI) tau) (*.f32 tau (PI.f32)))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 tau (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32))))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 tau (-.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 1 binary32))))
#s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 tau (-.f32 (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))) #s(literal 1 binary32))))
#s(approx (sin (neg (* x (* (PI) tau)))) (*.f32 tau (fma.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))))
#s(approx (sin (neg (* x (* (PI) tau)))) (*.f32 tau (fma.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))))
#s(approx (sin (neg (* x (* (PI) tau)))) (*.f32 tau (fma.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))))))))))
Calls

6 calls:

TimeVariablePoint
16.0ms
x
-inf
10.0ms
x
inf
7.0ms
x
0
6.0ms
tau
-inf
6.0ms
tau
inf

rewrite158.0ms (3.9%)

Memory
-22.0MiB live, 72.1MiB allocated; 45ms collecting garbage
Counts
39 → 119
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32))
#s(approx (/ (sin (* x (PI))) x) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))
#s(literal 1 binary32)
(*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))
(*.f32 x #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau))
(neg.f32 tau)
(/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau)
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 tau x)
(*.f32 x tau)
tau
x
(PI.f32)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau)
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 x (PI.f32)))
(/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32))
#s(approx (/ (sin (* x (PI))) x) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) (PI.f32)))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 (*.f32 x (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(cosh.f32 #s(literal 0 binary32))
(exp.f32 #s(literal 0 binary32))
(*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 x #s(literal -1/6 binary32)))
(*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) x) (PI.f32))
(*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))))
(*.f32 x #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 tau x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x)
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))) x)
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (fabs.f32 (PI.f32)) (fabs.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32)))) (neg.f32 tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (neg.f32 tau)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))
(neg.f32 tau)
(*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x) (PI.f32))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))
(neg.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (neg.f32 x) (*.f32 (PI.f32) tau))
(*.f32 x (neg.f32 (*.f32 (PI.f32) tau)))
(neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))

eval17.0ms (0.4%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 610 to 939 computations (85.8% saved)

prune35.0ms (0.9%)

Memory
-6.7MiB live, 39.7MiB allocated; 4ms collecting garbage
Pruning

50 alts after pruning (44 fresh and 6 done)

PrunedKeptTotal
New1809189
Fresh13536
Picked055
Done112
Total18250232
Accuracy
99.7%
Counts
232 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32))
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
68.7%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (sin.f32 (*.f32 x (PI.f32)))) x)
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32))))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
61.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
96.7%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) x) (PI.f32)))
79.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) x) (PI.f32)))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (neg.f32 x)) (neg.f32 x)))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
79.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
77.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
68.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
81.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
68.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
82.2%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.9%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
61.4%
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
68.6%
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
75.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
60.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 372 to 1 436 computations (39.5% saved)

series214.0ms (5.3%)

Memory
19.2MiB live, 114.8MiB allocated; 54ms collecting garbage
Counts
38 → 81
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))
(*.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 x x)
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x))
Outputs
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 tau (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (fma.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32))) (fma.f32 #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 8 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 8 binary32))))))))))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 tau (PI.f32)))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 x (fma.f32 tau (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx (* tau x) (*.f32 tau x))
#s(approx x x)
#s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (PI.f32))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (* (* -1/6 (PI)) (* x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))))
#s(approx (* x x) (pow.f32 x #s(literal 2 binary32)))
#s(approx (* (* x x) (* (PI) (PI))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (/.f32 tau (PI.f32)))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 tau (PI.f32))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (PI.f32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 tau (PI.f32))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (PI.f32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (/.f32 tau (PI.f32))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau)
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) (+.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) (+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) (+.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau))
#s(approx (/ (sin (* x (PI))) (* tau x)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) tau) (/.f32 (PI.f32) tau)))
#s(approx (/ (sin (* x (PI))) (* tau x)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) tau))) (/.f32 (PI.f32) tau)))
#s(approx (/ (sin (* x (PI))) (* tau x)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) tau) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau))))) (/.f32 (PI.f32) tau)))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
#s(approx (sin (* (* tau x) (PI))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 x (PI.f32))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)))
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (+ (* (PI) (* (* -1/6 (PI)) (* x x))) 1) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (+ (* (PI) (* (* -1/6 (PI)) (* x x))) 1) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (fma.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (fma.f32 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 x (PI.f32)))))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 x (PI.f32)))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (sin (* (* tau x) (PI))) (*.f32 tau (fma.f32 x (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (+.f32 (PI.f32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
#s(approx (* (PI) tau) (*.f32 tau (PI.f32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (*.f32 tau (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (/ (sin (* x (* (PI) tau))) (* x (PI))) (PI)) (*.f32 tau (fma.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) (*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) (*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) (*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))))
Calls

6 calls:

TimeVariablePoint
8.0ms
tau
inf
7.0ms
x
-inf
6.0ms
tau
-inf
5.0ms
x
inf
4.0ms
x
0

rewrite163.0ms (4%)

Memory
2.3MiB live, 92.5MiB allocated; 11ms collecting garbage
Counts
38 → 125
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
#s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))
(*.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 x x)
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))) (cos.f32 (fma.f32 (*.f32 x (PI.f32)) tau (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau x)
(*.f32 x tau)
tau
x
(PI.f32)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) x) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (PI) (* x (PI)))) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x)
(/.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 tau x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
#s(approx (/ (sin (* x (PI))) (* (PI) (* x (PI)))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal -1 binary32))
#s(literal 1 binary32)
(cosh.f32 #s(literal 0 binary32))
(exp.f32 #s(literal 0 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau)
(/.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)))
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) x) x)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x x)))
(*.f32 #s(literal -1/6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(pow.f32 x #s(literal 2 binary32))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))) (cos.f32 (fma.f32 (*.f32 x (PI.f32)) tau (*.f32 x (PI.f32))))) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))
(*.f32 tau (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (fabs.f32 (PI.f32)) (fabs.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (PI.f32))
(/.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) x)
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 tau x)))

eval22.0ms (0.5%)

Memory
-7.4MiB live, 37.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 668 to 945 computations (85.8% saved)

prune66.0ms (1.7%)

Memory
-24.8MiB live, 69.8MiB allocated; 17ms collecting garbage
Pruning

60 alts after pruning (54 fresh and 6 done)

PrunedKeptTotal
New16625191
Fresh102939
Picked415
Done156
Total18160241
Accuracy
99.7%
Counts
241 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32))
68.7%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32))))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) x) (PI.f32)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
68.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) tau))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
68.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
97.1%
(/.f32 (*.f32 #s(approx (sin (* (* tau x) (PI))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
60.6%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
68.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
68.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
68.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
61.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
96.7%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.1%
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) x) (PI.f32)))
79.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) x) (PI.f32)))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1 binary32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
68.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
68.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
79.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
77.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
82.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
68.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
81.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
68.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
82.2%
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.9%
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
61.4%
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
82.1%
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
68.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
96.8%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
97.4%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
97.4%
(*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
68.6%
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
76.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
68.5%
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
75.1%
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
60.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 548 to 955 computations (38.3% saved)

regimes551.0ms (13.7%)

Memory
54.6MiB live, 710.5MiB allocated; 108ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
2 → 1
3 → 1
4 → 1
5 → 1
9 → 1
14 → 1
21 → 1
22 → 1
24 → 1
32 → 1
38 → 1
48 → 1
56 → 1
89 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Call 2
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
Outputs
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
Call 3
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Call 4
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Call 5
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Call 6
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
Call 7
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
Call 8
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
Call 9
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
Call 10
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
Call 11
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
Call 12
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (neg.f32 x)) (neg.f32 x)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (neg.f32 x)) (neg.f32 x)))))
Call 13
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (neg.f32 x)) (neg.f32 x)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (* (* tau x) (PI))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
Call 14
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (neg.f32 x)) (neg.f32 x)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (* (* tau x) (PI))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
Call 15
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* x (PI))) tau) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* x (* (PI) tau))) (* tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) x) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (neg tau)) (/.f32 #s(literal -1 binary32) tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) #s(approx (/ (sin (neg (* x (* (PI) tau)))) (* x (PI))) (*.f32 #s(literal -1 binary32) tau)))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) x) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* tau x)) (/.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 #s(literal -1/6 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (PI.f32))) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (neg.f32 x)) (neg.f32 x)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* (* (PI) (PI)) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* x (PI)))) (* (* (* tau x) (PI)) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (sin (* (* tau x) (PI))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau x))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x))
(*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 x (PI.f32)) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 x (PI.f32) (PI.f32)))) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 x (PI.f32)) (neg.f32 tau) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (+.f32 (PI.f32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

60 calls:

31.0ms
(*.f32 x (PI.f32))
29.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
28.0ms
tau
24.0ms
tau
24.0ms
x
Results
AccuracySegmentsBranch
60.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
60.7%1tau
60.7%1(*.f32 x (PI.f32))
60.7%1x
61.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
61.4%1tau
61.4%1(*.f32 x (PI.f32))
61.4%1x
68.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.5%1(*.f32 x (PI.f32))
68.5%1x
68.5%1tau
68.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.6%1(*.f32 x (PI.f32))
68.6%1x
68.6%1tau
68.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.7%1(*.f32 x (PI.f32))
68.7%1x
68.7%1tau
68.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.8%1tau
68.8%1(*.f32 x (PI.f32))
68.8%1x
68.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.8%1(*.f32 x (PI.f32))
68.8%1x
68.8%1tau
68.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
68.9%1(*.f32 x (PI.f32))
68.9%1x
68.9%1tau
82.2%1(*.f32 x (PI.f32))
82.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.2%1x
82.2%1tau
82.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.2%1(*.f32 x (PI.f32))
82.2%1x
82.2%1tau
82.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.2%1(*.f32 x (PI.f32))
82.2%1x
82.2%1tau
82.2%1(*.f32 x (PI.f32))
82.2%1x
82.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.2%1tau
97.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%1(*.f32 x (PI.f32))
97.4%1x
97.4%1tau
97.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%1tau
97.6%1(*.f32 x (PI.f32))
97.6%1x
97.7%1(*.f32 x (PI.f32))
97.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%1x
97.7%1tau
Compiler

Compiled 2 787 to 647 computations (76.8% saved)

derivations11.0ms (0.3%)

Memory
-45.5MiB live, 4.7MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 399 to 86 computations (78.4% saved)

preprocess125.0ms (3.1%)

Memory
36.8MiB live, 224.3MiB allocated; 16ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 2 016 to 1 072 computations (46.8% saved)

end0.0ms (0%)

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

Profiling

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