Lanczos kernel

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze15.0ms (0.3%)

Memory
24.4MiB live, 24.4MiB 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)

sample983.0ms (21%)

Memory
30.2MiB live, 1 773.9MiB allocated; 206ms collecting garbage
Samples
770.0ms8 252×0valid
1.0ms4×1valid
Precisions
Click to see histograms. Total time spent on operations: 547.0ms
ival-mult!: 172.0ms (31.4% of total)
ival-sinu: 164.0ms (30% of total)
ival-sin: 129.0ms (23.6% of total)
ival-div!: 79.0ms (14.4% of total)
adjust: 2.0ms (0.4% of total)
ival-<=: 1.0ms (0.2% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

preprocess55.0ms (1.2%)

Memory
-32.5MiB live, 60.2MiB allocated; 6ms 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
▶97.8%
(*.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 34 to 20 computations (41.2% saved)

series33.0ms (0.7%)

Memory
15.6MiB live, 65.9MiB allocated; 5ms 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:

TimeVariablePointExpression
12.0ms
tau
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms
x
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
tau
@-inf
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms
x
@0
((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite178.0ms (3.8%)

Memory
3.6MiB live, 279.1MiB allocated; 22ms 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 (0.2%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 763 to 425 computations (75.9% saved)

prune16.0ms (0.4%)

Memory
-4.9MiB live, 41.7MiB allocated; 2ms collecting garbage
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New672592
Fresh000
Picked011
Done000
Total672693
Accuracy
99.4%
Counts
93 → 26
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))
▶97.6%
(/.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)))
97.2%
(/.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))))
97.0%
(/.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)))
97.1%
(/.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))))
97.6%
(/.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)))
97.6%
(/.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)))
97.4%
(*.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))
▶97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
✓97.8%
(*.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))))
81.5%
(*.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))))
92.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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))))
▶89.1%
(*.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))))
81.8%
(*.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))))
97.4%
(*.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)))
97.1%
(*.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)))
97.6%
(*.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)))
▶97.8%
(*.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))))
60.7%
(*.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))))
75.2%
(*.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))))
79.9%
#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)))
74.0%
#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)))
97.1%
#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))))
▶60.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 199 to 794 computations (33.8% saved)

series66.0ms (1.4%)

Memory
-43.3MiB live, 75.2MiB allocated; 74ms collecting garbage
Counts
37 → 59
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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)))
(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))
(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 #s(literal 1/120 binary32) (*.f32 x x))
#s(literal 1/120 binary32)
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(/.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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(*.f32 (PI.f32) x)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
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 (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
#s(approx (* 1/120 (* x x)) #s(hole binary32 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#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 (* tau x) #s(hole binary32 (* tau x)))
#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 (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow x 4) (pow (PI) 4)))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* 1/120 (pow (PI) 4)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* 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 (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#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)))))))))))
Calls

6 calls:

TimeVariablePointExpression
39.0ms
x
@inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) x) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
7.0ms
tau
@-inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) x) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
7.0ms
x
@-inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) x) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
4.0ms
x
@0
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) x) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
4.0ms
tau
@inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (* (* tau x) (PI))) (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (PI) x) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))

rewrite226.0ms (4.8%)

Memory
39.1MiB live, 268.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04292595
04842428
126552400
088032311
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
96 → 495
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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 (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)
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(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
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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)))))))
#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))))))))))))
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#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
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#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)))))
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#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)))))))))))
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#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 (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow x 4) (pow (PI) 4)))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* 1/120 (pow (PI) 4)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* 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 (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#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)))))))))))
Outputs
(*.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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) tau))
(*.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 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(*.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 (/.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)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) (neg.f32 tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.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 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (neg.f32 tau))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
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(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
#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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
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#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #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 (*.f32 (PI.f32) (PI.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 (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))
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#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)
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#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
#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))
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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 (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* 1/120 (* x x)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (PI.f32) tau (*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) tau)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.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 (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) tau)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/720 binary32) (fma.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 7 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 7 binary32)) tau (pow.f32 (*.f32 (PI.f32) tau) #s(literal 7 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.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 x x) (*.f32 (PI.f32) (PI.f32))) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau))
#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 (*.f32 (PI.f32) (PI.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 (* tau x) (*.f32 tau 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 x x) (*.f32 (PI.f32) (PI.f32))) 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 (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 x x))))
#s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 x x))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))
#s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.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 -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.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 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 -1/6 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 (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.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 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.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 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #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 (*.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)) 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))

eval35.0ms (0.8%)

Memory
-8.4MiB live, 92.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 7 002 to 1 440 computations (79.4% saved)

prune45.0ms (1%)

Memory
-21.7MiB live, 168.9MiB allocated; 9ms collecting garbage
Pruning

51 alts after pruning (47 fresh and 4 done)

PrunedKeptTotal
New28638324
Fresh11920
Picked235
Done011
Total29951350
Accuracy
99.5%
Counts
350 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
▶97.9%
(/.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))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
✓97.6%
(/.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)))
97.2%
(/.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))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(/.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)))
89.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
▶97.6%
(/.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)))
97.6%
(/.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)))
60.7%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
73.0%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
97.5%
(*.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))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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))))
67.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
▶81.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
▶88.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
88.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
✓97.8%
(*.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))))
81.5%
(*.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))))
89.1%
(*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
89.1%
(*.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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) x) x #s(literal 1 binary32))))
89.1%
(*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
81.8%
(*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
89.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
14.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
97.6%
(*.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)))
97.5%
(*.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)))
✓97.8%
(*.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))))
81.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (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))))
68.2%
(*.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))))
81.8%
(*.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))))
60.9%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
60.7%
(*.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))))
60.8%
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
75.2%
(*.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))))
79.9%
#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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
▶74.0%
#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)))
96.9%
#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 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
97.1%
#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))))
✓60.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 646 to 1 824 computations (31.1% saved)

series58.0ms (1.2%)

Memory
6.3MiB live, 143.1MiB allocated; 13ms collecting garbage
Counts
42 → 94
Calls
Call 1
Inputs
(/.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 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(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) (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) tau)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau 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)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))
(/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x x) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
(/.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 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
Outputs
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) 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 (* (* (PI) x) 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 (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #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 (+ (* (* -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 (* (* 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 (* tau x) #s(hole binary32 (* tau 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 (* -1/6 (* x x)) #s(hole binary32 (* -1/6 (pow x 2))))
#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))) (* x (PI))) (* tau x)) #s(hole binary32 (/ 1 (* tau x))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x)))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* 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))) (* x (PI))) (* 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 (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
#s(approx (* (* x x) 1/120) #s(hole binary32 (* 1/120 (pow x 2))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* 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 (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* x (PI)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (PI))))
#s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (PI))))))
#s(approx (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow x 4) (pow (PI) 4)))))
#s(approx (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* 1/120 (pow (PI) 4)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* 1/120 (pow (PI) 4))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) (* (* (PI) x) 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 (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) 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 (* (* (PI) x) 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 (+ (* (* -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 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 (* (PI) tau) #s(hole binary32 (* tau (PI))))
#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 (* (* (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (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:

TimeVariablePointExpression
15.0ms
tau
@0
((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (* (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x))) (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* (* x x) 1/120) 1/120 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* -1/6 (* (PI) (PI))) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
12.0ms
tau
@-inf
((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (* (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x))) (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* (* x x) 1/120) 1/120 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* -1/6 (* (PI) (PI))) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
8.0ms
x
@-inf
((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (* (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x))) (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* (* x x) 1/120) 1/120 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* -1/6 (* (PI) (PI))) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
7.0ms
x
@inf
((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (* (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x))) (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* (* x x) 1/120) 1/120 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* -1/6 (* (PI) (PI))) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
5.0ms
tau
@inf
((/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) tau) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (* (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x))) (/ (sin (* (* (PI) x) tau)) (PI)) (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* (* x x) 1/120) 1/120 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* -1/6 (* (PI) (PI))) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))

rewrite189.0ms (4%)

Memory
28.7MiB live, 357.7MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06004065
06763800
137933770
083723606
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
136 → 501
Calls
Call 1
Inputs
(/.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 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(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) (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) tau)
(*.f32 (PI.f32) (PI.f32))
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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))) (* (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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (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 (/.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 (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 (*.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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.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)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (PI.f32) x) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (neg.f32 tau) x))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.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 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) (neg.f32 tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.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)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 x (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 x (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 x (neg.f32 tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.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 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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 (PI.f32) x) tau)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.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 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.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)) (/.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)) (*.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)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 tau x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.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 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))) (neg.f32 (neg.f32 tau)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (neg.f32 (*.f32 (*.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 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) 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)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.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))
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
(*.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))
(*.f32 (*.f32 x x) (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))))
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#s(approx (sin (* (* (PI) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
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#s(approx x x)
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#s(approx (* x x) (*.f32 x x))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau)
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#s(approx (* -1/6 (* x x)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x))
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#s(approx (* (* x x) 1/120) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))
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#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (sin (* (* (PI) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.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(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
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#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
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#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.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 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) 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 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (fma.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 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* (PI) x) 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 (* (* (PI) x) 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 (* (* (PI) x) 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 (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 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 (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #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 x x) (*.f32 (PI.f32) (PI.f32))) #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 (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 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) 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 (*.f32 (PI.f32) (PI.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 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 7 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))))) (*.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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau))
#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 x x) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (PI.f32) tau) (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 (*.f32 (PI.f32) tau) (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)))

eval72.0ms (1.5%)

Memory
-4.8MiB live, 168.2MiB allocated; 33ms collecting garbage
Compiler

Compiled 9 225 to 2 289 computations (75.2% saved)

prune102.0ms (2.2%)

Memory
32.2MiB live, 181.8MiB allocated; 44ms collecting garbage
Pruning

78 alts after pruning (74 fresh and 4 done)

PrunedKeptTotal
New44141482
Fresh93342
Picked415
Done134
Total45578533
Accuracy
99.5%
Counts
533 → 78
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
81.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
81.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
88.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 tau x))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
✓97.6%
(/.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)))
97.2%
(/.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))))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
88.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))) (PI.f32))
97.6%
(/.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)))
89.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
89.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
✓97.6%
(/.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)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(/.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)))
75.0%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
60.7%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
73.4%
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
73.0%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
81.3%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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))))
97.5%
(*.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))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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))))
▶67.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
81.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
81.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) tau) x))
88.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
81.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
88.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 tau x)))
14.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (*.f32 tau x)))
81.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau)) x)))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))))
68.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
88.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
89.1%
(*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
89.1%
(*.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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) x) x #s(literal 1 binary32))))
89.1%
(*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
81.8%
(*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
89.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
14.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
88.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
97.6%
(*.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)))
97.5%
(*.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)))
✓97.8%
(*.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))))
68.2%
(*.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))))
81.8%
(*.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))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
▶79.5%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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))))
74.8%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) 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))))
79.4%
(*.f32 (/.f32 #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 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau)) 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))))
74.7%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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))))
60.9%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
60.9%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
▶97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
74.8%
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
75.2%
(*.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))))
▶79.9%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
74.0%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
96.9%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
74.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
74.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
66.4%
#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 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
▶60.9%
#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)))
74.0%
#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)))))
73.8%
#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 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
73.5%
#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)))
97.1%
#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))))
4.7%
#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 x x) (*.f32 (PI.f32) (PI.f32))))))
✓60.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 650 to 3 275 computations (29.6% saved)

series88.0ms (1.9%)

Memory
-27.0MiB live, 121.9MiB allocated; 37ms collecting garbage
Counts
60 → 122
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))
(/.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)))) (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 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1 binary32)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) tau)
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)
(fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32)))
(*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))
#s(literal 1/120 binary32)
(pow.f32 tau #s(literal 5 binary32))
#s(literal 5 binary32)
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau))
(*.f32 (*.f32 tau tau) tau)
(*.f32 tau 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)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))
(fma.f32 tau tau #s(literal 1 binary32))
(*.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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))
(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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32))
(*.f32 (PI.f32) tau)
#s(literal 4 binary32)
(fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))
(*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))
Outputs
#s(approx (* (sin (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) #s(hole binary32 1))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (sin (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) #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 (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) #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 (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) 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 (* (* (PI) x) 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 (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) 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)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (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 (* (PI) x)) (* (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)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #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 (+ (* (* -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 (* (* tau x) (PI))) (* (PI) x)) tau) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) 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 (* (* tau x) (PI))) (* (PI) x)) 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 (* (* 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 (* tau x) #s(hole binary32 (* tau x)))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (* -1/6 (* (pow tau 3) (pow (PI) 2)))))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
#s(approx (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 4))))
#s(approx (* -1/6 (* x x)) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 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 (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 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 (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) #s(hole binary32 (* (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 (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* 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 (* (* tau x) (PI))) (* (PI) x)) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* x (PI)))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) #s(hole binary32 (* 1/120 (* (pow tau 5) (* (pow x 4) (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 3) (pow (PI) 2)) (pow x 2))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 3) (pow (PI) 2)) (pow x 2))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (/ tau (pow x 4)))))))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (/ (* (pow tau 3) (pow (PI) 2)) (pow x 2))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (* (pow x 4) (+ (* -1/6 (/ (* (pow (PI) 2) (+ 1 (pow tau 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)))))))))
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#s(approx (sin (* (* (PI) x) 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))))))))))
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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))))
#s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) 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)))))))))
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#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (* (pow tau 3) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4))))))))
#s(approx (* 1/120 (pow tau 5)) #s(hole binary32 (* 1/120 (pow tau 5))))
#s(approx (pow tau 5) #s(hole binary32 (pow tau 5)))
#s(approx (* (* (PI) (PI)) (* (* tau tau) tau)) #s(hole binary32 (* (pow tau 3) (pow (PI) 2))))
#s(approx (* (* tau tau) tau) #s(hole binary32 (pow tau 3)))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))))
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#s(approx (pow (* (PI) tau) 4) #s(hole binary32 (* (pow tau 4) (pow (PI) 4))))
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#s(approx (* 1/36 (* tau tau)) #s(hole binary32 (* 1/36 (pow tau 2))))
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#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (* -1 (* (pow tau 5) (+ (* -1/120 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (pow (PI) 2) (pow tau 2))))))))
Calls

6 calls:

TimeVariablePointExpression
37.0ms
tau
@-inf
((* (sin (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* 1/120 (pow tau 5)) 1/120 (pow tau 5) 5 (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6) (* (* (PI) (PI)) (* (* tau tau) tau)) (* (* tau tau) tau) (* tau tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (pow (* (PI) tau) 4) (* (PI) tau) 4 (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))
10.0ms
x
@inf
((* (sin (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* 1/120 (pow tau 5)) 1/120 (pow tau 5) 5 (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6) (* (* (PI) (PI)) (* (* tau tau) tau)) (* (* tau tau) tau) (* tau tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (pow (* (PI) tau) 4) (* (PI) tau) 4 (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))
9.0ms
tau
@inf
((* (sin (* (* (PI) x) tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* x x)) 1) (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (PI) (PI)) (* x x) 1 (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* 1/120 (pow tau 5)) 1/120 (pow tau 5) 5 (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6) (* (* (PI) (PI)) (* (* tau tau) tau)) (* (* tau tau) tau) (* tau tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (pow (* (PI) tau) 4) (* (PI) tau) 4 (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))
9.0ms
x
@-inf
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9.0ms
tau
@0
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rewrite195.0ms (4.2%)

Memory
10.7MiB live, 291.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06446266
07485506
140325460
088855319
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
182 → 615
Calls
Call 1
Inputs
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#s(approx (pow tau 5) #s(hole binary32 (pow tau 5)))
#s(approx (* (* (PI) (PI)) (* (* tau tau) tau)) #s(hole binary32 (* (pow tau 3) (pow (PI) 2))))
#s(approx (* (* tau tau) tau) #s(hole binary32 (pow tau 3)))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))))
#s(approx (+ (* tau tau) 1) #s(hole binary32 (+ 1 (pow tau 2))))
#s(approx (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) #s(hole binary32 (* 1/120 (* (pow x 2) (pow (PI) 4)))))
#s(approx (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) #s(hole binary32 (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))))))
#s(approx (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) #s(hole binary32 (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) #s(hole binary32 (* 1/120 (pow (PI) 4))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) #s(hole binary32 (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) #s(hole binary32 (+ (* 1/120 (pow (PI) 4)) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (pow (PI) 4))) (* 1/36 (pow (PI) 4)))))))
#s(approx (pow (* (PI) tau) 4) #s(hole binary32 (* (pow tau 4) (pow (PI) 4))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (* 1/36 (* tau tau)) #s(hole binary32 (* 1/36 (pow tau 2))))
#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 (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) #s(hole binary32 (* (pow tau 5) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) #s(hole binary32 (* (pow tau 5) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ 1 (pow tau 4)))))))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (* (pow tau 5) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) #s(hole binary32 (* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) #s(hole binary32 (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))))
#s(approx (+ (* tau tau) 1) #s(hole binary32 (* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))))
#s(approx (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) #s(hole binary32 (* (pow tau 4) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
#s(approx (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) #s(hole binary32 (* (pow tau 4) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) #s(hole binary32 (* 1/120 (* (pow tau 4) (pow (PI) 4)))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) #s(hole binary32 (* (pow tau 4) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2)))))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) #s(hole binary32 (* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))))
#s(approx (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) #s(hole binary32 (* 1/36 (* (pow tau 2) (pow (PI) 4)))))
#s(approx (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) #s(hole binary32 (* (pow tau 2) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 2))) (* 1/36 (pow (PI) 4))))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) #s(hole binary32 (* -1 (* (pow tau 5) (+ (* -1/120 (* (pow x 4) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) #s(hole binary32 (* -1 (* (pow tau 5) (- (+ (* -1/120 (* (pow x 4) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2)))) (/ 1 (pow tau 4)))))))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) #s(hole binary32 (* -1 (* (pow tau 5) (+ (* -1/120 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (pow (PI) 2) (pow tau 2))))))))
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 (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 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(*.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 (/.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))) 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) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (PI.f32) x) x))
(/.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 x x) (*.f32 (PI.f32) (PI.f32))))
(/.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)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(/.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 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 tau) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (neg.f32 tau) x))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 tau) (*.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))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) x))
(/.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 (*.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)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 tau x))
(/.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 (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) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) (neg.f32 tau)))
(/.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) (/.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)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 x (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 x (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))) (*.f32 x (neg.f32 tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.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)))))
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#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (pow.f32 tau #s(literal 5 binary32))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) (pow.f32 tau #s(literal 5 binary32))))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 5 binary32))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32)))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/36 binary32))) (*.f32 x x)) (*.f32 tau tau)))))
#s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (+.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/36 binary32))) (*.f32 x x)) (*.f32 tau tau)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x)))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/36 binary32)) (*.f32 tau tau))))))
#s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) #s(literal 1/120 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/36 binary32)) (*.f32 tau tau)))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (+ (* tau tau) 1) (fma.f32 (*.f32 tau tau) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/36 binary32)) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) #s(literal 1/120 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/36 binary32)) (*.f32 tau tau))))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/120 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32)) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/120 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32)) (*.f32 tau tau)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau)))
#s(approx (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32))) (*.f32 tau tau)))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (neg.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 #s(literal -1/120 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (pow.f32 tau #s(literal 5 binary32)))))
#s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (neg.f32 (*.f32 (-.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)) (*.f32 #s(literal -1/120 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (pow.f32 tau #s(literal 5 binary32)))))
#s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (neg.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))) (pow.f32 tau #s(literal 5 binary32)))))

eval88.0ms (1.9%)

Memory
-4.3MiB live, 184.4MiB allocated; 15ms collecting garbage
Compiler

Compiled 16 405 to 3 809 computations (76.8% saved)

prune102.0ms (2.2%)

Memory
-1.0MiB live, 237.8MiB allocated; 9ms collecting garbage
Pruning

104 alts after pruning (98 fresh and 6 done)

PrunedKeptTotal
New62936665
Fresh76269
Picked235
Done134
Total639104743
Accuracy
99.5%
Counts
743 → 104
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
67.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
81.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
81.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
88.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 tau x))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
68.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.2%
(/.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))))
68.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
67.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
88.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))) (PI.f32))
97.6%
(/.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)))
89.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
✓97.6%
(/.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)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
68.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
75.0%
(/.f32 (*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
79.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
60.7%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
73.4%
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
73.0%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
81.3%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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))))
68.0%
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
97.5%
(*.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))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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))))
81.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
81.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) tau) x))
88.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
81.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
88.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 tau x)))
14.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (*.f32 tau x)))
81.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau)) x)))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))))
68.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
88.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
88.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
89.1%
(*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
89.1%
(*.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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) x) x #s(literal 1 binary32))))
89.1%
(*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
81.8%
(*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
89.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
14.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
88.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
97.6%
(*.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)))
97.5%
(*.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)))
✓97.8%
(*.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))))
68.2%
(*.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))))
81.8%
(*.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))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
✓79.5%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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))))
79.5%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))))))
66.3%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
74.8%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) 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))))
79.5%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 tau tau) tau))) (*.f32 x x) tau)) 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))))
79.5%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 x x) tau)) 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))))
74.8%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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))))
79.4%
(*.f32 (/.f32 #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 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau)) 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))))
66.3%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
74.7%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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))))
13.8%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32))))) 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))))
60.9%
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
81.4%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.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 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
89.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
88.4%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
81.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
96.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
68.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))))
97.2%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
66.4%
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
74.8%
(*.f32 #s(approx (/ (sin (* (* (PI) x) tau)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
75.2%
(*.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))))
79.4%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(approx (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
79.9%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
75.4%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
75.8%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
74.1%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
60.9%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
74.0%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
13.8%
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
74.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
60.9%
#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)))
66.4%
#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 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
✓60.9%
#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)))
60.9%
#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)))
60.9%
#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)))
60.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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))))
74.0%
#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)))))
73.8%
#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 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
60.9%
#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)))
73.5%
#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)))
97.1%
#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))))
4.7%
#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 x x) (*.f32 (PI.f32) (PI.f32))))))
✓60.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 6 662 to 3 178 computations (52.3% saved)

regimes159.0ms (3.4%)

Memory
17.6MiB live, 303.0MiB allocated; 28ms collecting garbage
Counts
141 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
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(*.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 (*.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)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) 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 (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 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 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.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 (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 (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))))
(/.f32 (*.f32 (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
Outputs
(/.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))
Calls

4 calls:

46.0ms
tau
36.0ms
(*.f32 x (PI.f32))
35.0ms
x
34.0ms
(*.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
97.9%1(*.f32 x (PI.f32))
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1x
97.9%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes128.0ms (2.7%)

Memory
4.4MiB live, 238.5MiB allocated; 9ms collecting garbage
Counts
120 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) 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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau 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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 tau x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) tau) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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)))) (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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 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 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.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 (*.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 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.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 (*.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))) (* x (PI))) (* tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau))))
(/.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 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.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))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

32.0ms
tau
32.0ms
(*.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
x
29.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1x
97.8%1tau
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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes120.0ms (2.6%)

Memory
14.0MiB live, 249.9MiB allocated; 10ms collecting garbage
Counts
112 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
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(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 tau x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) tau) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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)))) (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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 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 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.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 (*.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 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.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)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
Calls

4 calls:

30.0ms
x
29.0ms
tau
28.0ms
(*.f32 x (PI.f32))
27.0ms
(*.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
97.8%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 22 to 18 computations (18.2% saved)

regimes157.0ms (3.4%)

Memory
-3.6MiB live, 237.3MiB allocated; 81ms collecting garbage
Counts
109 → 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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#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 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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 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 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.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 (*.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 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
Calls

4 calls:

69.0ms
tau
29.0ms
(*.f32 x (PI.f32))
27.0ms
x
27.0ms
(*.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
97.7%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 22 to 18 computations (18.2% saved)

regimes114.0ms (2.4%)

Memory
-6.8MiB live, 227.1MiB allocated; 12ms collecting garbage
Counts
105 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) 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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau 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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 tau x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) tau) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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)))) (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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 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 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) 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:

28.0ms
(*.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))))
27.0ms
tau
27.0ms
x
26.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.1%1(*.f32 x (PI.f32))
97.1%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))))
97.1%1x
97.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes111.0ms (2.4%)

Memory
-13.1MiB live, 221.0MiB allocated; 12ms collecting garbage
Counts
101 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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))))
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(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 tau x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) tau) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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)))) (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32))))
Calls

4 calls:

27.0ms
(*.f32 x (PI.f32))
26.0ms
tau
26.0ms
x
25.0ms
(*.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
89.1%1tau
89.1%1(*.f32 x (PI.f32))
89.1%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))))
89.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes110.0ms (2.4%)

Memory
3.7MiB live, 193.8MiB allocated; 15ms 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
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(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 x x) tau)) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.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 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x))) (PI.f32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 tau x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x) #s(literal 1 binary32))) tau) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) 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)))) (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 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))))
Calls

4 calls:

30.0ms
(*.f32 x (PI.f32))
25.0ms
tau
25.0ms
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))))
Results
AccuracySegmentsBranch
89.1%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))))
89.1%1tau
89.1%1(*.f32 x (PI.f32))
89.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes86.0ms (1.8%)

Memory
34.4MiB live, 175.1MiB allocated; 8ms collecting garbage
Counts
79 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
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(*.f32 (/.f32 #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 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau)) 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 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (*.f32 tau x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.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 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (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 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 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 x x) tau)) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.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))))
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 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) x) x #s(literal 1 binary32))))
Calls

4 calls:

22.0ms
(*.f32 x (PI.f32))
20.0ms
tau
20.0ms
x
19.0ms
(*.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
89.1%1tau
89.1%1(*.f32 x (PI.f32))
89.1%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))))
89.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes84.0ms (1.8%)

Memory
-17.1MiB live, 171.4MiB allocated; 10ms collecting garbage
Counts
77 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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))))
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(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
Calls

4 calls:

21.0ms
(*.f32 x (PI.f32))
20.0ms
x
20.0ms
tau
19.0ms
(*.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
89.0%1tau
89.0%1(*.f32 x (PI.f32))
89.0%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))))
89.0%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes81.0ms (1.7%)

Memory
27.6MiB live, 168.8MiB allocated; 6ms collecting garbage
Counts
76 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) 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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau 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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32))))) 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 (* (* 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 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.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)) #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 #s(approx (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(approx (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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)) (PI)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 tau tau) tau))) (*.f32 x x) tau)) 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 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau)) x)))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (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 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(approx (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau)))) (*.f32 x x))) (*.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))) #s(approx (+ (* (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))))
(*.f32 (/.f32 #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 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau)) 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 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (+ (* (* (* x x) 1/120) (* (* (* (PI) (PI)) (PI)) (PI))) (* -1/6 (* (PI) (PI)))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (*.f32 tau x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.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 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (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 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 tau x) (PI.f32))) (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 x x) tau)) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/36 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))) tau)
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))))))
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:

20.0ms
(*.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))))
19.0ms
x
19.0ms
(*.f32 x (PI.f32))
19.0ms
tau
Results
AccuracySegmentsBranch
81.8%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))))
81.8%1tau
81.8%1(*.f32 x (PI.f32))
81.8%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes52.0ms (1.1%)

Memory
-29.9MiB live, 109.2MiB allocated; 4ms collecting garbage
Counts
47 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) 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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* x (* (PI) tau))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau 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 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) tau)
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) x) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(approx (+ (* (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (* x x)) tau) (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32))))) 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 (* (* 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
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

13.0ms
(*.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))))
13.0ms
x
12.0ms
tau
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
75.8%1(*.f32 x (PI.f32))
75.8%1x
75.8%1tau
75.8%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes42.0ms (0.9%)

Memory
29.4MiB live, 80.4MiB allocated; 11ms collecting garbage
Counts
33 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) 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))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.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 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* (PI) x) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) #s(approx (/ (/ (sin (* x (PI))) (* x (PI))) (* tau x)) (/.f32 #s(literal 1 binary32) (*.f32 tau x))))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 tau tau) tau)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* 1/120 (pow tau 5)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x))) (* (* (* (PI) (PI)) (* (* tau tau) tau)) -1/6)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)) 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:

15.0ms
(*.f32 x (PI.f32))
9.0ms
tau
8.0ms
(*.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))))
8.0ms
x
Results
AccuracySegmentsBranch
74.8%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))))
74.8%1(*.f32 x (PI.f32))
74.8%1x
74.8%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes30.0ms (0.6%)

Memory
-28.8MiB live, 64.4MiB allocated; 2ms 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) 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:

8.0ms
tau
8.0ms
(*.f32 x (PI.f32))
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
Results
AccuracySegmentsBranch
74.7%1(*.f32 x (PI.f32))
74.7%1x
74.7%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))))
74.7%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes28.0ms (0.6%)

Memory
15.4MiB live, 61.9MiB allocated; 1ms collecting garbage
Counts
24 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

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
tau
6.0ms
(*.f32 x (PI.f32))
6.0ms
x
Results
AccuracySegmentsBranch
74.1%1(*.f32 x (PI.f32))
74.1%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))))
74.1%1x
74.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes28.0ms (0.6%)

Memory
10.3MiB live, 59.1MiB allocated; 3ms collecting garbage
Counts
23 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 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 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.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 #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 (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (*.f32 (pow.f32 (*.f32 (*.f32 tau x) (PI.f32)) #s(literal 4 binary32)) #s(literal 1/120 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.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)))
(*.f32 #s(approx (/ (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 #s(approx (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x) x) #s(literal 1/120 binary32)))) (*.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 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) x) x #s(literal 1 binary32)))
Calls

4 calls:

8.0ms
tau
6.0ms
x
6.0ms
(*.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))))
6.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
74.0%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))))
74.0%1tau
74.0%1(*.f32 x (PI.f32))
74.0%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes15.0ms (0.3%)

Memory
-13.7MiB live, 33.1MiB allocated; 1ms collecting garbage
Counts
10 → 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (/ (* (/ (sin (* (* (PI) x) tau)) (* (* (PI) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(approx (+ (* (+ (* (* (+ (* tau tau) 1) (* (PI) (PI))) -1/6) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (* (* (PI) (PI)) (PI)) (PI)) 1/120))) (* x x))) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

4.0ms
(*.f32 x (PI.f32))
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
x
Results
AccuracySegmentsBranch
74.0%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))))
74.0%1(*.f32 x (PI.f32))
74.0%1x
74.0%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes12.0ms (0.2%)

Memory
28.5MiB live, 28.5MiB 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)))
#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 x x) (*.f32 (PI.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 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau) 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
#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 (*.f32 (PI.f32) tau) (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
x
3.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
66.4%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))))
66.4%1tau
66.4%1(*.f32 x (PI.f32))
66.4%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes10.0ms (0.2%)

Memory
-22.7MiB live, 24.2MiB allocated; 2ms collecting garbage
Counts
6 → 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)))
#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 x x) (*.f32 (PI.f32) (PI.f32))))))
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:

3.0ms
x
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
(*.f32 x (PI.f32))
2.0ms
tau
Results
AccuracySegmentsBranch
60.9%1tau
60.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
60.9%1(*.f32 x (PI.f32))
60.9%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB 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 (/.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
(*.f32 x (PI.f32))
1.0ms
tau
Results
AccuracySegmentsBranch
60.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
60.1%1tau
60.1%1(*.f32 x (PI.f32))
60.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations614.0ms (13.1%)

Memory
-7.2MiB live, 650.3MiB allocated; 35ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 514 to 187 computations (63.6% saved)

preprocess137.0ms (2.9%)

Memory
7.0MiB live, 383.3MiB allocated; 21ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 3 387 to 2 085 computations (38.4% saved)

end0.0ms (0%)

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

Profiling

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