Lanczos kernel

Time bar (total: 6.6s)

start0.0ms (0%)

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

analyze15.0ms (0.2%)

Memory
26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample1.1s (17.5%)

Memory
34.5MiB live, 1 097.3MiB allocated; 890ms collecting garbage
Samples
590.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 428.0ms
ival-sin: 123.0ms (28.7% of total)
ival-mult!: 113.0ms (26.4% of total)
ival-sinu: 112.0ms (26.2% of total)
ival-div!: 74.0ms (17.3% of total)
ival-<=: 5.0ms (1.2% of total)
adjust: 1.0ms (0.2% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess61.0ms (0.9%)

Memory
-23.4MiB live, 23.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
1141128
21052116
35761116
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
(*.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)

series30.0ms (0.5%)

Memory
7.3MiB live, 49.3MiB allocated; 9ms 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(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 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)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Calls

6 calls:

TimeVariablePoint
8.0ms
tau
-inf
6.0ms
tau
inf
5.0ms
x
-inf
4.0ms
x
inf
3.0ms
x
0

rewrite276.0ms (4.2%)

Memory
18.7MiB live, 246.1MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581276
02731210
116051190
086051137
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
43 → 96
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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 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)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.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 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau 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)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#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)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x))) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (PI.f32) tau (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x))) x))
#s(approx (* x (PI)) (*.f32 (PI.f32) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x)) #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval8.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 923 to 425 computations (85.5% saved)

prune52.0ms (0.8%)

Memory
-47.2MiB live, 28.5MiB allocated; 21ms collecting garbage
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New692392
Fresh000
Picked011
Done000
Total692493
Accuracy
99.2%
Counts
93 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
96.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
✓97.6%
(*.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))))
90.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
▶84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
90.5%
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.5%
(*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
▶97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
▶97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶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))))
64.2%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
79.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
84.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
▶63.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 587 to 806 computations (49.2% saved)

series35.0ms (0.5%)

Memory
19.6MiB live, 62.6MiB allocated; 8ms collecting garbage
Counts
38 → 68
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)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.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 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 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)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (PI))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (/ 1 (* tau (PI)))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (/ (sin (* tau (* x (PI)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
Calls

6 calls:

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

rewrite220.0ms (3.4%)

Memory
3.3MiB live, 270.8MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04422627
05052503
125772461
086182370
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
106 → 652
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)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.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 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 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)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (PI))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (/ 1 (* tau (PI)))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (/ (sin (* tau (* x (PI)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (pow (PI) 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
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#s(approx (sin (* x (* (PI) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 (PI.f32) tau)) x))
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#s(approx x x)
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#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))
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#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x)) #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) tau) (*.f32 x x) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (* tau x) (*.f32 tau x))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau)
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
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#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x)))) (*.f32 x x))) (*.f32 x x) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (*.f32 (PI.f32) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 (PI.f32) tau)))
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#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) tau) (*.f32 x x) (*.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
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#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
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#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (* tau x) (PI))) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/6 binary32) (neg.f32 (/.f32 (PI.f32) (*.f32 x x)))) (*.f32 (*.f32 x x) x))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
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#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
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#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (PI.f32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (PI.f32)) tau))

eval77.0ms (1.2%)

Memory
15.4MiB live, 76.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 12 444 to 1 547 computations (87.6% saved)

prune78.0ms (1.2%)

Memory
2.1MiB live, 93.4MiB allocated; 7ms collecting garbage
Pruning

56 alts after pruning (52 fresh and 4 done)

PrunedKeptTotal
New32944373
Fresh10818
Picked145
Done101
Total34156397
Accuracy
99.3%
Counts
397 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
▶83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
83.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
96.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
84.0%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
▶97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
83.9%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) x))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (PI.f32)))
83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
84.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
84.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
84.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
90.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
✓84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
▶84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
90.5%
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.5%
(*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
89.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) x))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
✓97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
✓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))))
▶97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
90.5%
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.5%
(*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
79.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
89.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.6%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
70.6%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
✓63.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
96.3%
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
Compiler

Compiled 3 447 to 1 992 computations (42.2% saved)

series264.0ms (4%)

Memory
-14.3MiB live, 320.9MiB allocated; 160ms collecting garbage
Counts
49 → 99
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
(/.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 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(pow.f32 (exp.f32 (PI.f32)) x)
(exp.f32 (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
(fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (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)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.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))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))
Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* x (- (+ (* -1/6 (* (pow tau 2) (* (PI) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))))) (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (pow (PI) 4)))))) (+ (* 1/6 (/ (* (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))))) (PI)))))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* x (- (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (- (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/120 (pow (PI) 4)))) (+ (* -1/36 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (PI))))))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (PI))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (+ (PI) (* 1/2 (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))))))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* -1/6 (pow (PI) 3)) (+ (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))) (* x (+ (* -1/4 (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* 1/24 (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))))))))))
#s(approx (log (pow (exp (PI)) x)) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/6 (* x (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))
#s(approx (log (pow (exp (PI)) x)) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* 1/24 (* x (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))))))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (PI)))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* 1/2 (* x (pow (PI) 2))))))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* x (+ (* 1/6 (* x (pow (PI) 3))) (* 1/2 (pow (PI) 2)))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 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)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (pow (PI) 2))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (PI))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (* (* (* (PI) (PI)) (* x x)) (PI)) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (exp (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (/ (sin (* tau (* x (PI)))) x)))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (/ (* tau (* (PI) (sin (* x (PI))))) x)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
Calls

6 calls:

TimeVariablePoint
82.0ms
tau
inf
54.0ms
x
inf
51.0ms
x
-inf
47.0ms
tau
-inf
20.0ms
x
0

rewrite244.0ms (3.7%)

Memory
26.6MiB live, 253.3MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06824726
07594238
144244228
086054022
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
148 → 375
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
(/.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 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(pow.f32 (exp.f32 (PI.f32)) x)
(exp.f32 (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
(fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (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)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.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))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* x (- (+ (* -1/6 (* (pow tau 2) (* (PI) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))))) (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (pow (PI) 4)))))) (+ (* 1/6 (/ (* (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))))) (PI)))))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* x (- (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (- (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/120 (pow (PI) 4)))) (+ (* -1/36 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (PI))))))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (PI))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (+ (PI) (* 1/2 (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))))))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* -1/6 (pow (PI) 3)) (+ (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))) (* x (+ (* -1/4 (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* 1/24 (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))))))))))
#s(approx (log (pow (exp (PI)) x)) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/6 (* x (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))
#s(approx (log (pow (exp (PI)) x)) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* 1/24 (* x (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))))))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (PI)))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* 1/2 (* x (pow (PI) 2))))))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* x (+ (* 1/6 (* x (pow (PI) 3))) (* 1/2 (pow (PI) 2)))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 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)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (pow (PI) 2))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (PI))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (* (* (* (PI) (PI)) (* x x)) (PI)) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (exp (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (/ (sin (* tau (* x (PI)))) x)))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (/ (* tau (* (PI) (sin (* x (PI))))) x)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (exp.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
x
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(PI.f32)
tau
(/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (exp.f32 (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (log.f32 (exp.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(+.f32 (log.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32))))) (log.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32))))))
(*.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32)))) (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32)))))
(pow.f32 (*.f32 (exp.f32 (PI.f32)) (exp.f32 (PI.f32))) (/.f32 x #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 x) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) (+.f32 (/.f32 x #s(literal 2 binary32)) (/.f32 x #s(literal 2 binary32))))
(pow.f32 (exp.f32 (PI.f32)) x)
(+.f32 (cosh.f32 (*.f32 (PI.f32) x)) (sinh.f32 (*.f32 (PI.f32) x)))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (PI.f32)))
(exp.f32 (*.f32 (PI.f32) x))
(pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 x (-.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32)) (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal -1/12 binary32) (PI.f32)) (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))))) (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (PI.f32))) #s(literal 1/2 binary32)))) (PI.f32))) #s(literal 1/2 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (/.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (PI.f32))) #s(literal 1/6 binary32)))) x (*.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (PI.f32))) #s(literal 1/2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (PI.f32) tau (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x))) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32)) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/8 binary32) (-.f32 (fma.f32 (*.f32 #s(literal -1/12 binary32) (PI.f32)) (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) #s(literal 1/2 binary32) (*.f32 #s(literal -1/36 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (PI.f32)))))) x) (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/2 binary32) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) #s(literal 1/24 binary32))) x (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32)))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))
#s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) x) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))
#s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))
#s(approx (pow (exp (PI)) x) (fma.f32 (PI.f32) x #s(literal 1 binary32)))
#s(approx (pow (exp (PI)) x) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal 1/2 binary32) (PI.f32)) x #s(literal 1 binary32)))
#s(approx (pow (exp (PI)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x) #s(literal 1/6 binary32))) x (PI.f32)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x x)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) (PI.f32))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1/120 binary32) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (*.f32 x x))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1/120 binary32) (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/720 binary32) (fma.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 8 binary32) (*.f32 (log.f32 tau) #s(literal 5 binary32)))) #s(literal -1/720 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) tau (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 8 binary32) (*.f32 (log.f32 tau) #s(literal 7 binary32)))))))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 3 binary32)) #s(literal 1/36 binary32))))) (*.f32 x x))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)))) (*.f32 x x) (*.f32 (PI.f32) tau)))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (PI.f32) tau (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x))))
#s(approx (/ (sin (* x (PI))) x) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)))
#s(approx (/ (sin (* x (PI))) x) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)))
#s(approx (* (* (* (PI) (PI)) (* x x)) (PI)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))
#s(approx (* (* (PI) (PI)) (* x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1/120 binary32) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 3 binary32)) #s(literal 1/36 binary32)))) (*.f32 x x))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1/120 binary32) (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/720 binary32) (fma.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 8 binary32) (*.f32 (log.f32 tau) #s(literal 5 binary32)))) #s(literal -1/720 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) tau (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 8 binary32) (*.f32 (log.f32 tau) #s(literal 7 binary32)))))))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 3 binary32)) #s(literal 1/36 binary32))))) (*.f32 x x))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (pow (exp (PI)) x) (exp.f32 (*.f32 (PI.f32) x)))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 (*.f32 x x) x)))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) (*.f32 x (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)))))
#s(approx (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
#s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (+ (* (* x x) (* (* (* (PI) (PI)) (PI)) -1/6)) (PI)) x) (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/6 binary32) (neg.f32 (/.f32 (PI.f32) (*.f32 x x)))) (*.f32 (*.f32 x x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))) x))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (fma.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))))) tau))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (fma.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) tau))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 tau (fma.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 tau tau) (PI.f32)) tau))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))))) (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 tau tau) (PI.f32)) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 tau (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))) (*.f32 tau tau)))

eval47.0ms (0.7%)

Memory
1.1MiB live, 100.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 16 076 to 2 108 computations (86.9% saved)

prune73.0ms (1.1%)

Memory
-7.2MiB live, 179.9MiB allocated; 19ms collecting garbage
Pruning

82 alts after pruning (77 fresh and 5 done)

PrunedKeptTotal
New33432366
Fresh24547
Picked325
Done134
Total34082422
Accuracy
99.4%
Counts
422 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
83.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
84.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
83.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
96.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
84.0%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
▶97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
✓97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
83.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶78.4%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
78.3%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
64.6%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.9%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
77.6%
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
63.4%
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
77.1%
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) x))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (PI.f32)))
▶83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
84.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
84.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
90.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
✓84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32)) x)) (*.f32 x (PI.f32))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
90.5%
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.5%
(*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
89.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) x))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
✓97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 x)))) (*.f32 (PI.f32) (log.f32 (exp.f32 x)))))
✓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))))
▶97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))) #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
90.5%
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.5%
(*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
97.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
79.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
89.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.6%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
70.6%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
84.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
69.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
▶64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
78.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
96.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
77.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
4.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
✓63.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 5 916 to 3 198 computations (45.9% saved)

series205.0ms (3.1%)

Memory
16.6MiB live, 292.0MiB allocated; 59ms collecting garbage
Counts
53 → 120
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
(/.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 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x)))
(sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x)
(pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 x x)
#s(literal 1 binary32)
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau))
(*.f32 (*.f32 tau tau) tau)
(*.f32 tau tau)
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 tau x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* x (- (+ (* -1/6 (* (pow tau 2) (* (PI) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))))) (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (pow (PI) 4)))))) (+ (* 1/6 (/ (* (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))))) (PI)))))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* x (- (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))))
#s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (- (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/120 (pow (PI) 4)))) (+ (* -1/36 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (PI))))))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))))
#s(approx (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (* x (PI))))
#s(approx (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (* x (+ (PI) (* 1/2 (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))
#s(approx (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))))))))
#s(approx (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* -1/6 (pow (PI) 3)) (+ (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))) (* x (+ (* -1/4 (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* 1/24 (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))))))))))))
#s(approx (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/6 (* x (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))
#s(approx (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)) #s(hole binary32 (* x (+ (PI) (* x (+ (* 1/2 (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* x (+ (* 1/24 (* x (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))))))))
#s(approx (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x) #s(hole binary32 (+ 1 (* x (PI)))))
#s(approx (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* 1/2 (* x (pow (PI) 2))))))))
#s(approx (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* x (+ (* 1/6 (* x (pow (PI) 3))) (* 1/2 (pow (PI) 2)))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (pow (PI) 2))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (PI))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) #s(hole binary32 (/ 1 (* tau x))))
#s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)))
#s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x)))
#s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x)))
#s(approx (/ (sin (* x (PI))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* (PI) x)) #s(hole binary32 (+ 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)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* (* (PI) x) (* (PI) tau)) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x) #s(hole binary32 (exp (* x (PI)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (/ (sin (* tau (* x (PI)))) x)))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) #s(hole binary32 (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3))))))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (/ (* tau (PI)) (pow x 2))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (PI))))
#s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (/ (* tau (* (PI) (sin (* x (PI))))) x)))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
#s(approx (* -1/6 (* (* tau tau) tau)) #s(hole binary32 (* -1/6 (pow tau 3))))
#s(approx (* (* tau tau) tau) #s(hole binary32 (pow tau 3)))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) #s(hole binary32 (* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) #s(hole binary32 (* -1 (* (pow tau 3) (+ (* -1 (/ (PI) (pow tau 2))) (* 1/6 (* (pow x 2) (pow (PI) 3))))))))
Calls

6 calls:

TimeVariablePoint
77.0ms
tau
inf
50.0ms
x
-inf
44.0ms
tau
-inf
18.0ms
x
inf
7.0ms
tau
0

rewrite195.0ms (3%)

Memory
15.0MiB live, 248.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08065739
08894937
151084927
085164690
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
173 → 384
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
(/.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 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x)))
(sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x)
(pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 x x)
#s(literal 1 binary32)
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau))
(*.f32 (*.f32 tau tau) tau)
(*.f32 tau tau)
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))
(*.f32 tau x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x)
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* x (- (+ (* -1/6 (* (pow tau 2) (* (PI) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))))) (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/120 (pow (PI) 4)))))) (+ (* 1/6 (/ (* (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))))) (PI)))))))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* x (- (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* -1/12 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))))))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
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#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
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#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (PI))))
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#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
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#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))))))
#s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) #s(hole binary32 (/ 1 (* tau x))))
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#s(approx (/ (sin (* x (PI))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
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#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
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#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* (* (PI) x) (* (PI) tau)) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x) #s(hole binary32 (exp (* x (PI)))))
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#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))))
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#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (/ (* tau (PI)) (pow x 2))))))
#s(approx (/ (sin (* x (PI))) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#s(approx (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (PI))))
#s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (* (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
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#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
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#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) #s(hole binary32 (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
#s(approx (* -1/6 (* (* tau tau) tau)) #s(hole binary32 (* -1/6 (pow tau 3))))
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#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) #s(hole binary32 (* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) #s(hole binary32 (* -1 (* (pow tau 3) (+ (* -1 (/ (PI) (pow tau 2))) (* 1/6 (* (pow x 2) (pow (PI) 3))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau 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))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.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))) x) (*.f32 (PI.f32) tau))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (exp.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
x
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(PI.f32)
tau
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (exp.f32 (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (log.f32 (exp.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(+.f32 (log.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32))))) (log.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32))))))
(*.f32 (pow.f32 (exp.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) x) (pow.f32 (exp.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) x))
(*.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32)))) (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32)))))
(pow.f32 (*.f32 (exp.f32 (PI.f32)) (exp.f32 (PI.f32))) (/.f32 x #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 (PI.f32) (/.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 x) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) (+.f32 (/.f32 x #s(literal 2 binary32)) (/.f32 x #s(literal 2 binary32))))
(pow.f32 (exp.f32 (PI.f32)) x)
(+.f32 (cosh.f32 (*.f32 (PI.f32) x)) (sinh.f32 (*.f32 (PI.f32) x)))
(exp.f32 (*.f32 (*.f32 (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32))) x))
(exp.f32 (*.f32 (log.f32 (exp.f32 x)) (PI.f32)))
(exp.f32 (*.f32 (PI.f32) x))
(*.f32 (exp.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (exp.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (+.f32 (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(+.f32 (cosh.f32 (*.f32 (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))) (sinh.f32 (*.f32 (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))))
(+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32))))
(exp.f32 (PI.f32))
(+.f32 (cosh.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (sinh.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (fabs.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (fabs.f32 (PI.f32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (neg.f32 (PI.f32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/3 binary32))
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (fabs.f32 (PI.f32)) (fabs.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(pow.f32 (fabs.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/3 binary32)))
(cbrt.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/3 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) #s(literal 1 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))))
(fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
(*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1/6 binary32)
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) x)
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 (pow.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (PI.f32))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))))) (neg.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x)
#s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau)))
(-.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))) x))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (fma.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x) (sin.f32 (*.f32 (PI.f32) x))))) tau))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (fma.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)))) (*.f32 tau tau))) tau))
#s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 tau (fma.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau)))))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (PI.f32)) tau))
#s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 x x) x)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (PI.f32)) tau))
#s(approx (* -1/6 (* (* tau tau) tau)) (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)))
#s(approx (* (* tau tau) tau) (*.f32 (*.f32 tau tau) tau))
#s(approx (* tau tau) (*.f32 tau tau))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) #s(literal -1/6 binary32))) (*.f32 tau tau) x) tau))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) #s(literal -1/6 binary32))) (*.f32 tau tau) x) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 tau (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)))
#s(approx (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))
#s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))) (*.f32 tau tau)))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) tau)))
#s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal 1/6 binary32) (neg.f32 (/.f32 (PI.f32) (*.f32 tau tau)))) (*.f32 (*.f32 tau tau) tau))))

eval51.0ms (0.8%)

Memory
8.3MiB live, 109.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 22 246 to 2 432 computations (89.1% saved)

prune165.0ms (2.5%)

Memory
-30.5MiB live, 160.6MiB allocated; 11ms collecting garbage
Pruning

101 alts after pruning (97 fresh and 4 done)

PrunedKeptTotal
New38540425
Fresh155772
Picked415
Done235
Total406101507
Accuracy
99.5%
Counts
507 → 101
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
67.4%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
78.3%
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
83.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
84.0%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
83.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
83.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 tau x)))) (PI.f32))
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
4.6%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
78.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
78.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
69.2%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.7%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
78.3%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
64.6%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
78.0%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) #s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau (/.f32 (PI.f32) (*.f32 x x)))) (*.f32 x x)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
83.9%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
63.4%
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
77.3%
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
97.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) x))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (PI.f32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau) x))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) x) (*.f32 tau x)))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
89.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 tau x))))
83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau)) x)))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))))
70.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
84.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
90.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
✓84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
90.5%
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.5%
(*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
89.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) x))
64.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 x)))) (*.f32 (PI.f32) (log.f32 (exp.f32 x)))))
✓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))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 #s(approx (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))) #s(approx (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
90.5%
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.5%
(*.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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
97.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
97.4%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
78.2%
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
78.2%
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
64.6%
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
78.3%
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
79.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
89.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.6%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
70.6%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
84.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
69.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
✓64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
78.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
64.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
96.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
77.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
4.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
✓63.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 9 494 to 2 865 computations (69.8% saved)

regimes168.0ms (2.6%)

Memory
30.9MiB live, 121.4MiB allocated; 4ms collecting garbage
Counts
140 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))) #s(approx (log (pow (exp (PI)) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 #s(approx (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))) #s(approx (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) x) (fma.f32 #s(literal -6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -4 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 13 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -3 binary32))))) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 1/6 binary32))) x (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) x (PI.f32)) x))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))) (log.f32 (pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) x))))
Calls

4 calls:

49.0ms
x
47.0ms
(*.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))))
33.0ms
tau
32.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%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))))
97.8%1x
97.8%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes219.0ms (3.3%)

Memory
-24.0MiB live, 345.5MiB allocated; 55ms collecting garbage
Counts
133 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau 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 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.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))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) 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 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) 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 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.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))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 x)))) (*.f32 (PI.f32) (log.f32 (exp.f32 x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
Calls

4 calls:

82.0ms
tau
48.0ms
(*.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))))
41.0ms
x
40.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
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 26 to 18 computations (30.8% saved)

regimes163.0ms (2.5%)

Memory
37.3MiB live, 407.2MiB allocated; 46ms collecting garbage
Counts
131 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) x) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) 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 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) 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 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.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))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 x)))) (*.f32 (PI.f32) (log.f32 (exp.f32 x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) (log.f32 (exp.f32 x)))) (*.f32 (PI.f32) (log.f32 (exp.f32 x)))))
Calls

4 calls:

44.0ms
tau
40.0ms
(*.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))))
40.0ms
x
34.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
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 26 to 18 computations (30.8% saved)

regimes174.0ms (2.7%)

Memory
-2.3MiB live, 475.1MiB allocated; 67ms collecting garbage
Counts
129 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
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(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.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))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
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

4 calls:

44.0ms
(*.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))))
40.0ms
tau
37.0ms
(*.f32 x (PI.f32))
34.0ms
x
Results
AccuracySegmentsBranch
97.7%1(*.f32 x (PI.f32))
97.7%1x
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%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes204.0ms (3.1%)

Memory
30.3MiB live, 250.8MiB allocated; 104ms collecting garbage
Counts
100 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau 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 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.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))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (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 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau)) x)))
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(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
Calls

4 calls:

64.0ms
tau
64.0ms
x
41.0ms
(*.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))))
30.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.5%1(*.f32 x (PI.f32))
97.5%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))))
97.5%1x
97.5%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes173.0ms (2.6%)

Memory
2.9MiB live, 166.9MiB allocated; 174ms collecting garbage
Counts
95 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau 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 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.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))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (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 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau)) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) #s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau (/.f32 (PI.f32) (*.f32 x x)))) (*.f32 x x)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32)) x)) (*.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))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.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))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 tau x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 tau x)))) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) x) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))))
Calls

4 calls:

92.0ms
x
27.0ms
tau
27.0ms
(*.f32 x (PI.f32))
22.0ms
(*.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))))
Results
AccuracySegmentsBranch
97.4%1(*.f32 x (PI.f32))
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%1x
97.4%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes159.0ms (2.4%)

Memory
-32.4MiB live, 157.7MiB allocated; 22ms collecting garbage
Counts
93 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) x) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
Calls

4 calls:

76.0ms
(*.f32 x (PI.f32))
27.0ms
x
27.0ms
tau
22.0ms
(*.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))))
Results
AccuracySegmentsBranch
96.7%1(*.f32 x (PI.f32))
96.7%1x
96.7%1tau
96.7%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes98.0ms (1.5%)

Memory
8.8MiB live, 152.2MiB allocated; 14ms collecting garbage
Counts
91 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) x) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
Calls

4 calls:

25.0ms
(*.f32 x (PI.f32))
24.0ms
x
23.0ms
(*.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))))
22.0ms
tau
Results
AccuracySegmentsBranch
96.3%1(*.f32 x (PI.f32))
96.3%1x
96.3%1tau
96.3%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes142.0ms (2.2%)

Memory
29.6MiB live, 122.2MiB allocated; 4ms collecting garbage
Counts
90 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.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 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (log (pow (pow (exp (cbrt (* (PI) (PI)))) (cbrt (PI))) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
Calls

4 calls:

54.0ms
(*.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))))
22.0ms
tau
21.0ms
x
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
90.5%1(*.f32 x (PI.f32))
90.5%1x
90.5%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))))
90.5%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes96.0ms (1.5%)

Memory
-25.1MiB live, 159.8MiB allocated; 19ms collecting garbage
Counts
85 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau 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 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.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))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (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 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau)) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) #s(approx (+ (* (* -1/6 (* (* tau tau) tau)) (* (* x x) (* (* (PI) (PI)) (PI)))) (* (PI) tau)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau (/.f32 (PI.f32) (*.f32 x x)))) (*.f32 x x)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32)) x)) (*.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))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.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))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 tau x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 tau x)))) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) x) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
Calls

4 calls:

25.0ms
tau
24.0ms
x
22.0ms
(*.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))))
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
89.7%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))))
89.7%1(*.f32 x (PI.f32))
89.7%1x
89.7%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes107.0ms (1.6%)

Memory
12.9MiB live, 159.9MiB allocated; 37ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
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(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 x x)) (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (PI.f32)) x) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) tau) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)))
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 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

4 calls:

40.0ms
(*.f32 x (PI.f32))
22.0ms
tau
21.0ms
(*.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))))
20.0ms
x
Results
AccuracySegmentsBranch
84.5%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))))
84.5%1(*.f32 x (PI.f32))
84.5%1x
84.5%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes45.0ms (0.7%)

Memory
22.9MiB live, 67.9MiB allocated; 4ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau 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 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.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))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

4 calls:

13.0ms
tau
10.0ms
x
10.0ms
(*.f32 x (PI.f32))
10.0ms
(*.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))))
Results
AccuracySegmentsBranch
84.5%1(*.f32 x (PI.f32))
84.5%1x
84.5%1tau
84.5%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (0.8%)

Memory
-33.8MiB live, 60.5MiB allocated; 12ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau 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 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.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))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

16.0ms
(*.f32 x (PI.f32))
10.0ms
tau
10.0ms
x
10.0ms
(*.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))))
Results
AccuracySegmentsBranch
79.0%1(*.f32 x (PI.f32))
79.0%1x
79.0%1tau
79.0%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes44.0ms (0.7%)

Memory
21.4MiB live, 66.0MiB allocated; 5ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau 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 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.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))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau) x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) x)) (*.f32 tau tau)) #s(literal -1/6 binary32) x) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* (* (PI) (PI)) (* x x)) (PI)) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32))) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) x) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
Outputs
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
Calls

4 calls:

13.0ms
(*.f32 x (PI.f32))
10.0ms
tau
10.0ms
x
9.0ms
(*.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))))
Results
AccuracySegmentsBranch
78.5%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))))
78.5%1(*.f32 x (PI.f32))
78.5%1x
78.5%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes31.0ms (0.5%)

Memory
3.2MiB live, 48.3MiB allocated; 4ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 tau x)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

10.0ms
tau
7.0ms
(*.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))))
7.0ms
x
6.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
78.5%1(*.f32 x (PI.f32))
78.5%1x
78.5%1tau
78.5%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.3%)

Memory
-10.6MiB live, 33.7MiB allocated; 5ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
Calls

4 calls:

7.0ms
x
4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
(*.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))))
Results
AccuracySegmentsBranch
78.5%1(*.f32 x (PI.f32))
78.5%1x
78.5%1tau
78.5%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes11.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

3.0ms
(*.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))))
3.0ms
tau
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
69.3%1(*.f32 x (PI.f32))
69.3%1x
69.3%1tau
69.3%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))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.3%)

Memory
-29.9MiB live, 18.2MiB allocated; 16ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) x) (/ (sin (* x (PI))) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)))
Calls

4 calls:

14.0ms
(*.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))))
2.0ms
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
64.6%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))))
64.6%1tau
64.6%1(*.f32 x (PI.f32))
64.6%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#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)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)))
Calls

4 calls:

2.0ms
(*.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))))
2.0ms
tau
2.0ms
x
2.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
64.6%1(*.f32 x (PI.f32))
64.6%1x
64.6%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))))
64.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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))
Calls

4 calls:

1.0ms
(*.f32 x (PI.f32))
1.0ms
(*.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))))
1.0ms
x
1.0ms
tau
Results
AccuracySegmentsBranch
63.6%1(*.f32 x (PI.f32))
63.6%1x
63.6%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))))
63.6%1tau
Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations1.2s (18.5%)

Memory
-89.4MiB live, 750.0MiB allocated; 823ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 728 to 149 computations (79.5% saved)

preprocess163.0ms (2.5%)

Memory
6.0MiB live, 385.1MiB allocated; 59ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 3 661 to 1 719 computations (53% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...