Lanczos kernel

Time bar (total: 6.6s)

start0.0ms (0%)

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

analyze32.0ms (0.5%)

Memory
-23.6MiB live, 18.3MiB allocated; 28ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample928.0ms (14.1%)

Memory
32.9MiB live, 906.1MiB allocated; 304ms collecting garbage
Samples
702.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 515.0ms
ival-mult!: 191.0ms (37.1% of total)
ival-sin: 140.0ms (27.2% of total)
ival-sinu: 115.0ms (22.3% of total)
ival-div!: 67.0ms (13% of total)
adjust: 2.0ms (0.4% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
Bogosity

preprocess53.0ms (0.8%)

Memory
-2.0MiB live, 41.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
1141128
21051116
35765116
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.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)

series28.0ms (0.4%)

Memory
34.5MiB live, 34.5MiB allocated; 0ms collecting garbage
Counts
10 → 38
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))
#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)) tau) #s(hole binary32 (* tau (* x (PI)))))
#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))
#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 (* (/ (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 (/ (sin (* 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 tau #s(hole binary32 tau))
Calls

6 calls:

TimeVariablePointExpression
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)) 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))))

rewrite185.0ms (2.8%)

Memory
-0.5MiB live, 171.7MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631349
02791283
116121261
086011208
Stop Event
iter-limit
node-limit
iter-limit
Counts
48 → 101
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))
#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)) tau) #s(hole binary32 (* tau (* x (PI)))))
#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))
#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 (* (/ (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 (/ (sin (* 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 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)))
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#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval8.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 828 to 437 computations (76.1% saved)

prune19.0ms (0.3%)

Memory
-36.4MiB live, 22.8MiB allocated; 9ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New772097
Fresh000
Picked011
Done000
Total772198
Accuracy
99.5%
Counts
98 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.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)))
96.8%
(/.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)))
97.5%
(/.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))))
97.8%
(/.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)))
97.8%
(/.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)))
97.6%
(*.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))
97.4%
(*.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))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.6%
(*.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))))
91.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.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)))
98.1%
(*.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))))
78.1%
(*.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))))
83.8%
#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)))
77.6%
#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)))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.9%
#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))))
62.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 981 to 642 computations (34.6% saved)

series58.0ms (0.9%)

Memory
31.6MiB live, 74.6MiB allocated; 6ms collecting garbage
Counts
44 → 148
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 #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))))
#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)))
(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 #s(literal -1/6 binary32) (*.f32 tau tau))
#s(literal -1/6 binary32)
(*.f32 tau tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (PI.f32) (PI.f32))
(*.f32 x 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)))
(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))
(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)))
(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))
(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))))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32))
#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 #s(literal 1/36 binary32) (*.f32 tau tau))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))
(/.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)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 1))
#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) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#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))
#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 (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 1))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
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#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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 (* (* 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 (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #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 (* (* tau x) (PI))) #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 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))))
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#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))))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
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)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (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) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x))
8.0ms
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)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (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) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x))
8.0ms
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)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (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) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x))
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)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (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) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x))
6.0ms
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)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) -1/6 (* tau tau) (* (* (PI) (PI)) (* x x)) (* (PI) (PI)) (* x x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI))) (* (+ (* (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) 4 1/120 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) (* 1/36 (* tau tau)) 1/36 (* (* (PI) (PI)) (* (PI) (PI))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x))

rewrite189.0ms (2.9%)

Memory
-17.2MiB live, 164.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06027110
06826395
136406307
081436070
Stop Event
iter-limit
node-limit
iter-limit
Counts
192 → 540
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)
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#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#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 (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#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 (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* 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 tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* 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 (* -1/6 (* tau tau)) #s(hole binary32 (* -1/6 (pow tau 2))))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* (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 (* (+ (* (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 (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120)) #s(hole binary32 (* 1/120 (pow (PI) 4))))
#s(approx (+ (* (* 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 (* 1/36 (* tau tau)) #s(hole binary32 (* 1/36 (pow tau 2))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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 (* (* 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 (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #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 (* (* tau x) (PI))) #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 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* (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 (* (+ (* (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 (* (+ (* (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))))))
Outputs
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#s(approx (* 1/36 (* tau tau)) (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau))
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#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.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 (* (* 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 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.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 -1/6 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))) (/ (sin (* (PI) x)) (* (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 (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.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 (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32)) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))))
#s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal 1/36 binary32))))))
#s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal 1/36 binary32)))))) (*.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)))
#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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))))
#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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal 1/36 binary32))) (*.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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal 1/36 binary32))))))
#s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.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 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))))))
#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)))

eval54.0ms (0.8%)

Memory
38.7MiB live, 79.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 11 779 to 2 443 computations (79.3% saved)

prune45.0ms (0.7%)

Memory
-35.2MiB live, 64.7MiB allocated; 13ms collecting garbage
Pruning

42 alts after pruning (37 fresh and 5 done)

PrunedKeptTotal
New44227469
Fresh51015
Picked145
Done011
Total44842490
Accuracy
99.5%
Counts
490 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
97.7%
(/.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)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
97.5%
(/.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))))
97.8%
(/.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)))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
62.9%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(*.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))
98.0%
(*.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))))
91.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
98.1%
(*.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))))
84.6%
(*.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))))
91.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
78.1%
(*.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))))
77.7%
(*.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 #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))))
78.3%
(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
78.1%
(*.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))) #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))))
68.1%
(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) #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)))
83.8%
#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 #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)))
78.6%
#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 #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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
79.5%
#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 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
79.5%
#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))) #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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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)))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
78.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))))
13.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
62.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
97.0%
#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 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
Compiler

Compiled 3 162 to 1 955 computations (38.2% saved)

series241.0ms (3.7%)

Memory
28.1MiB live, 292.5MiB allocated; 36ms collecting garbage
Counts
57 → 195
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
(/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau))
(sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau))
(*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(pow.f32 (exp.f32 (PI.f32)) x)
(exp.f32 (PI.f32))
(PI.f32)
x
tau
(/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
(sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
#s(literal -1/6 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))
#s(literal 1 binary32)
(*.f32 (PI.f32) (PI.f32))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) 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)))
(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 #s(literal -1/6 binary32) (*.f32 tau tau))
(*.f32 tau tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (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)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32)))
(+.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)))
(*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))
(fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(*.f32 #s(literal 1/36 binary32) (*.f32 x x))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))
Outputs
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/4 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (+ (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/6 (* tau (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))) (* tau (pow (PI) 2)))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))) (pow (PI) 2)))))) (+ (* 1/6 (/ (* (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2))) (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* x (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/4 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (+ (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/6 (* tau (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))) (* tau (pow (PI) 2)))) (+ (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))) (pow (PI) 2))) (* x (- (+ (* -1/8 (* (pow tau 2) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2))) (+ (* -1/8 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/12 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (+ (* -1/12 (* (pow tau 2) (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))))) (* tau (pow (PI) 2)))) (+ (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* 1/24 (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4)))))))) (pow (PI) 2))) (/ (* (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/6 (* tau (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))) (* tau (pow (PI) 2))))))))))) (+ (* 1/36 (/ (pow (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) 2) (pow (PI) 2))) (+ (* 1/24 (/ (* (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2))) (+ (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (- (+ (* -1/4 (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (+ (* -1/4 (* (pow tau 2) (* (PI) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (+ (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/6 (* tau (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))) (* tau (pow (PI) 2)))) (* 1/2 (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (pow (PI) 3)) (* 1/6 (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3)))))) (pow (PI) 2)))))) (+ (* 1/6 (/ (* (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2))) (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI))))) (PI)) (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/4 (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2)) (* 1/3 (* (PI) (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))))) (pow (PI) 2))))))))))) (+ (* 1/6 (/ (* (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2))) (/ (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (PI)))))))))))
#s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) #s(hole binary32 1))
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#s(approx (sin (* (log (pow (exp (PI)) x)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (log (pow (exp (PI)) x)) tau)) #s(hole binary32 (* x (+ (* 1/2 (* tau (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* tau (PI))))))
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#s(approx (sin (* (log (pow (exp (PI)) x)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* x (+ (* 1/2 (* tau (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* x (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (+ (* 1/6 (* tau (+ (* -3 (pow (PI) 3)) (+ (* 2 (pow (PI) 3)) (pow (PI) 3))))) (* x (+ (* -1/4 (* (pow tau 3) (* (pow (PI) 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (* 1/24 (* tau (+ (* -6 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (+ (* -3 (pow (PI) 4)) (+ (* 12 (pow (PI) 4)) (pow (PI) 4))))))))))))))))))
#s(approx (* (log (pow (exp (PI)) x)) tau) #s(hole binary32 (* tau (* x (PI)))))
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#s(approx (log (pow (exp (PI)) x)) #s(hole binary32 (* x (PI))))
#s(approx (log (pow (exp (PI)) x)) #s(hole binary32 (* x (+ (PI) (* 1/2 (* x (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))))))
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#s(approx (pow (exp (PI)) x) #s(hole binary32 1))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (PI)))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* 1/2 (* x (pow (PI) 2))))))))
#s(approx (pow (exp (PI)) x) #s(hole binary32 (+ 1 (* x (+ (PI) (* x (+ (* 1/6 (* x (pow (PI) 3))) (* 1/2 (pow (PI) 2)))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) #s(hole binary32 1))
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#s(approx (sin (log (pow (exp (PI)) x))) #s(hole binary32 (* x (PI))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))
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#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
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#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 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 (* (+ (* tau tau) 1) (* (PI) (PI))) #s(hole binary32 (pow (PI) 2)))
#s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) #s(hole binary32 (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))))
#s(approx (+ (* tau tau) 1) #s(hole binary32 1))
#s(approx (+ (* tau tau) 1) #s(hole binary32 (+ 1 (pow tau 2))))
#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 (* -1/6 (* tau tau)) #s(hole binary32 (* -1/6 (pow tau 2))))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 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 (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
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#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
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#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (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 (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
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#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #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 (* (* tau x) (PI))) #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)))))))))))
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#s(approx (+ (* tau tau) 1) #s(hole binary32 (pow tau 2)))
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#s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) #s(hole binary32 (* (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))))) (pow tau 2))))))
Calls

6 calls:

TimeVariablePointExpression
78.0ms
tau
@0
((* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x tau (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) (sin (log (pow (exp (PI)) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) 1 (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) (* tau tau) (* (* (PI) (PI)) (* x x)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/36 (* x x)) 1/36 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) -1/6) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (* (* tau x) (PI)) (* (PI) x)))
47.0ms
x
@inf
((* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x tau (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) (sin (log (pow (exp (PI)) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) 1 (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) (* tau tau) (* (* (PI) (PI)) (* x x)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/36 (* x x)) 1/36 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) -1/6) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (* (* tau x) (PI)) (* (PI) x)))
29.0ms
x
@-inf
((* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x tau (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) (sin (log (pow (exp (PI)) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) 1 (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) (* tau tau) (* (* (PI) (PI)) (* x x)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/36 (* x x)) 1/36 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) -1/6) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (* (* tau x) (PI)) (* (PI) x)))
28.0ms
tau
@inf
((* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x tau (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) (sin (log (pow (exp (PI)) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) 1 (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) (* tau tau) (* (* (PI) (PI)) (* x x)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/36 (* x x)) 1/36 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) -1/6) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (* (* tau x) (PI)) (* (PI) x)))
28.0ms
tau
@-inf
((* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau) (log (pow (exp (PI)) x)) (pow (exp (PI)) x) (exp (PI)) (PI) x tau (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x))) (sin (log (pow (exp (PI)) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (+ (* tau tau) 1) (* (PI) (PI))) (+ (* tau tau) 1) 1 (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* -1/6 (* tau tau)) (* tau tau) (* (* (PI) (PI)) (* x x)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/36 (* x x)) 1/36 (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) -1/6) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (* (* tau x) (PI)) (* (PI) x)))

rewrite1.8s (27.3%)

Memory
6.7MiB live, 250.9MiB allocated; 3.3s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094310491
010489009
160949003
080658601
Stop Event
iter-limit
node-limit
iter-limit
Counts
252 → 519
Calls
Call 1
Inputs
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(PI.f32)
x
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#s(approx (+ (* tau tau) 1) #s(hole binary32 (+ 1 (pow tau 2))))
#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 (* -1/6 (* tau tau)) #s(hole binary32 (* -1/6 (pow tau 2))))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* 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 (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
#s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) #s(hole binary32 (+ (* (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 (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (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 (* (* tau x) (PI))) (sin (* (PI) x))) (* (* (* tau x) (PI)) (* (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 (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #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 (* (* tau x) (PI))) #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)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 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 (* (+ (* tau tau) 1) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (pow (PI) 2))))
#s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) #s(hole binary32 (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))))
#s(approx (+ (* tau tau) 1) #s(hole binary32 (pow tau 2)))
#s(approx (+ (* tau tau) 1) #s(hole binary32 (* (pow tau 2) (+ 1 (/ 1 (pow tau 2))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (+ (/ 1 (pow tau 2)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))))
#s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) #s(hole binary32 (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) #s(hole binary32 (* (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))))) (pow tau 2))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (exp.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (exp.f32 (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (log.f32 (exp.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32))) (pow.f32 (exp.f32 (PI.f32)) (/.f32 x #s(literal 2 binary32))))
(pow.f32 (pow.f32 (exp.f32 x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))
(pow.f32 (exp.f32 x) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) x)
(+.f32 (cosh.f32 (*.f32 (PI.f32) x)) (sinh.f32 (*.f32 (PI.f32) x)))
(exp.f32 (*.f32 (PI.f32) x))
(+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))
(exp.f32 (PI.f32))
(PI.f32)
x
tau
(/.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 (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 3 binary32)) #s(literal -1/216 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 3 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32)))
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x)
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
#s(literal -1/6 binary32)
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32))))
(*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32)))
(/.f32 (+.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 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) (*.f32 (PI.f32) (PI.f32))))))
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#s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 tau (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (sin (* (log (pow (exp (PI)) x)) tau)) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (log (pow (exp (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 (* (log (pow (exp (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)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau))
#s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))) (*.f32 tau tau)))
#s(approx (+ (* tau tau) 1) (*.f32 tau tau))
#s(approx (+ (* tau tau) 1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1 binary32)) (*.f32 tau tau)))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 tau tau)))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))
#s(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) (*.f32 tau tau))) (*.f32 tau tau)))
#s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))
#s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (*.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 tau tau)))) (*.f32 tau tau)))

eval61.0ms (0.9%)

Memory
-2.5MiB live, 87.0MiB allocated; 15ms collecting garbage
Compiler

Compiled 14 167 to 3 024 computations (78.7% saved)

prune89.0ms (1.3%)

Memory
3.4MiB live, 145.1MiB allocated; 10ms collecting garbage
Pruning

76 alts after pruning (71 fresh and 5 done)

PrunedKeptTotal
New43146477
Fresh72532
Picked505
Done055
Total44376519
Accuracy
99.7%
Counts
519 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
97.7%
(/.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)))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.8%
(/.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)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
77.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (fma.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 (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
62.9%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
62.0%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
62.9%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.6%
(*.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))
98.0%
(*.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))))
91.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) tau)) (*.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))))) (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32))) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32))) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))) (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))))
98.1%
(*.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))))
84.6%
(*.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))))
91.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.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))))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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))))
77.8%
(*.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 (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (PI.f32)))
78.1%
(*.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))))
60.7%
(*.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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) (log.f32 (exp.f32 x)) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
77.8%
(*.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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
77.9%
(*.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 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
77.7%
(*.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 #s(approx (sin (* x (PI))) (*.f32 (-.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)))) x)) (*.f32 x (PI.f32))))
4.7%
(*.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 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32))) x)) (*.f32 x (PI.f32))))
77.3%
(*.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 #s(approx (sin (* x (PI))) #s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 (*.f32 x x) x)))) (*.f32 x (PI.f32))))
78.3%
(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
78.1%
(*.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))) #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))))
68.1%
(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau 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))))
77.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) (/.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))))
77.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 tau 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))))
82.4%
(*.f32 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) 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 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.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))))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) #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)))
83.8%
#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 #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)))
78.6%
#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 #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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
79.5%
#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 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
79.5%
#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))) #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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
59.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #s(literal 1 binary32))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) #s(approx (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(literal 1 binary32))))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))))
78.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.f32 x x))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau))) #s(literal 1 binary32))))
13.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
13.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))))
78.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))))
13.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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)))))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
76.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
4.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
62.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
96.7%
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
97.0%
#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 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
Compiler

Compiled 7 776 to 4 687 computations (39.7% saved)

series302.0ms (4.6%)

Memory
36.6MiB live, 340.7MiB allocated; 41ms collecting garbage
Counts
58 → 165
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
(/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau))
(sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau))
(*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)
(log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))
(pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)
(+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))
(cosh.f32 (PI.f32))
(PI.f32)
(sinh.f32 (PI.f32))
x
tau
(/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)))
(sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))
(*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x))
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 tau tau)
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 x (PI.f32))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))
(log.f32 (PI.f32))
#s(literal 2 binary32)
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32)))
(*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))
Outputs
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (log (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI))))))) 2))) (* -1/6 (pow (log (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI))))))) 2)))))))
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#s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 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 (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))) (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))) (* 1/120 (* (pow tau 2) (* (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))))) (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 5) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))) (* 1/120 (* (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))))) (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2))))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2)) (* 1/120 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 4))))))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2)) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 6))) (* 1/120 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 4)))))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (+ (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (* -1/6 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3)))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (+ (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3)) (* 1/120 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 5)))))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (+ (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3)) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 7))) (* 1/120 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 5))))))))))
#s(approx (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau) #s(hole binary32 (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* 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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 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 (/ (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 (* (* tau tau) -1/6) #s(hole binary32 (* -1/6 (pow tau 2))))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (* -1/6 (* tau tau)) #s(hole binary32 (* -1/6 (pow tau 2))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (/ (* (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (sin (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))) (* tau (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2)))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (/ (sin (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))) (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (sin (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 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 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (* (pow tau 2) (pow x 2)))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
Calls

6 calls:

TimeVariablePointExpression
87.0ms
x
@-inf
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71.0ms
tau
@0
((* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau) (log (pow (+ (cosh (PI)) (sinh (PI))) x)) (pow (+ (cosh (PI)) (sinh (PI))) x) (+ (cosh (PI)) (sinh (PI))) (cosh (PI)) (PI) (sinh (PI)) x tau (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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) (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (* (* (* (PI) (PI)) x) x) (* (* (PI) (PI)) x) (* (PI) (PI)) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* (* tau tau) -1/6) (* tau tau) (/ 1 (* x x)) (* x x) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x)) (exp (* (log (PI)) 2)) (* (log (PI)) 2) (log (PI)) 2 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) (* (exp (* (log (PI)) 2)) (PI)))
39.0ms
x
@0
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32.0ms
x
@inf
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31.0ms
tau
@-inf
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rewrite227.0ms (3.4%)

Memory
47.7MiB live, 217.7MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088715802
098411148
156509978
085059311
Stop Event
iter-limit
node-limit
iter-limit
Counts
223 → 442
Calls
Call 1
Inputs
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#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 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 (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) #s(hole binary32 (* -1/6 (* (pow tau 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))) (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))) (* 1/120 (* (pow tau 2) (* (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))))) (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 5) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))) (* 1/120 (* (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3) (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))))) (/ (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2))))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2)) (* 1/120 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 4))))))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2)) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 6))) (* 1/120 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 4)))))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (+ (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (* -1/6 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3)))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (+ (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3)) (* 1/120 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 5)))))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (* tau (+ (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) (* (pow tau 2) (+ (* -1/6 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 3)) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 7))) (* 1/120 (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 5))))))))))
#s(approx (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau) #s(hole binary32 (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* 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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 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 (/ (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 (* (* tau tau) -1/6) #s(hole binary32 (* -1/6 (pow tau 2))))
#s(approx (* tau tau) #s(hole binary32 (pow tau 2)))
#s(approx (* -1/6 (* tau tau)) #s(hole binary32 (* -1/6 (pow tau 2))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(hole binary32 (/ (* (sin (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))) (sin (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))) (* tau (pow (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)) 2)))))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (/ (sin (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x)))) (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(hole binary32 (sin (* tau (log (pow (+ (* 1/2 (+ (exp (PI)) (/ 1 (exp (PI))))) (* 1/2 (- (exp (PI)) (/ 1 (exp (PI)))))) x))))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(hole binary32 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 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 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (* (pow tau 2) (pow x 2)))))))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (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 (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 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (exp.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
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#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (fma.f32 (fma.f32 x (-.f32 (fma.f32 x (-.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) tau) #s(literal 2 binary32)) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 tau tau)) (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32))))) (*.f32 (pow.f32 (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) (*.f32 tau tau)) #s(literal -1/6 binary32)) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 tau tau)) (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)))))))) (*.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))))) (*.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))))) (*.f32 (pow.f32 (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (*.f32 (*.f32 tau x) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) tau) (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) x) (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) tau)) x))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (*.f32 x (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) tau) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)))) (*.f32 (pow.f32 (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) x)) x (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) tau))))
#s(approx (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (*.f32 (fma.f32 x (fma.f32 x (fma.f32 (pow.f32 (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) tau) (fma.f32 #s(literal -6 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) #s(literal -3 binary32))))) (*.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))))) x (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32))))))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) tau) #s(literal 1/2 binary32))) (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) tau)) x))
#s(approx (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau) (*.f32 (*.f32 tau x) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))))
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#s(approx (* (PI) x) (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) x))
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#s(approx (pow (+ (cosh (PI)) (sinh (PI))) x) #s(literal 1 binary32))
#s(approx (pow (+ (cosh (PI)) (sinh (PI))) x) (fma.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) x #s(literal 1 binary32)))
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#s(approx x x)
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) #s(literal -1/6 binary32)) x (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (-.f32 (fma.f32 x (-.f32 (fma.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal -1/12 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)))) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) #s(literal -1/6 binary32)) (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32)))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/36 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32))))))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) #s(literal -1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) #s(literal -1/12 binary32))) x (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (PI) x)) (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) x))
#s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) x) #s(literal 1/2 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) x))
#s(approx (sin (* (PI) x)) (*.f32 x (fma.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)))) #s(literal 1/6 binary32) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) #s(literal -1/6 binary32))) x (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) x (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))))))
#s(approx (sin (* (PI) x)) (*.f32 (fma.f32 x (fma.f32 x (fma.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/24 binary32) (fma.f32 #s(literal -6 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) (fma.f32 #s(literal 13 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 4 binary32)) #s(literal -3 binary32))))))) x (*.f32 (fma.f32 #s(literal -3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 3 binary32)))) #s(literal 1/6 binary32)))) (*.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))))) x))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (fma.f32 (*.f32 x x) (*.f32 (*.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 (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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)))) x) x)) x) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) tau) tau) (*.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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(literal 1 binary32))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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)))) x) x)) x) x #s(literal 1 binary32)))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(literal 1 binary32))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 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 (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) #s(literal 1 binary32))
#s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* (* (* (PI) (PI)) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (* (PI) (PI)) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (*.f32 (PI.f32) (PI.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 (* (PI) x)) (*.f32 (PI.f32) x))
#s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))
#s(approx (sin (* (PI) x)) (*.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 (* (PI) x)) (*.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 (* (PI) x) (*.f32 (PI.f32) x))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(literal 1 binary32))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.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)) (*.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)))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) #s(literal 1 binary32))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) #s(literal 1 binary32))
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#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))))
#s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)))
#s(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 tau tau)))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 tau tau)))
#s(approx (* (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (* x x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 tau tau)))
#s(approx (+ (* (* (* tau tau) -1/6) (* (PI) (PI))) (/ 1 (* x x))) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x x)))) (*.f32 tau tau)))
#s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 tau tau)))

eval65.0ms (1%)

Memory
-25.0MiB live, 73.8MiB allocated; 37ms collecting garbage
Compiler

Compiled 11 425 to 2 244 computations (80.4% saved)

prune103.0ms (1.6%)

Memory
23.5MiB live, 163.0MiB allocated; 15ms collecting garbage
Pruning

89 alts after pruning (83 fresh and 6 done)

PrunedKeptTotal
New30723330
Fresh66066
Picked415
Done055
Total31789406
Accuracy
99.7%
Counts
406 → 89
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
97.7%
(/.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)))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.8%
(/.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)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
77.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
77.4%
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
77.5%
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (fma.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 (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
62.9%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
62.0%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.6%
(*.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))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
98.0%
(*.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))))
91.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) tau)) (*.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))))) (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32))) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32))) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))) (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))))
98.1%
(*.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))))
84.6%
(*.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))))
91.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.7%
(*.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))))
69.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.4%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.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))))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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))))
77.8%
(*.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 (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x)) x) (PI.f32)))
78.1%
(*.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))))
60.7%
(*.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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) (log.f32 (exp.f32 x)) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
77.8%
(*.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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
77.9%
(*.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 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
77.7%
(*.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 #s(approx (sin (* x (PI))) (*.f32 (-.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)))) x)) (*.f32 x (PI.f32))))
4.7%
(*.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 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32))) x)) (*.f32 x (PI.f32))))
77.3%
(*.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 #s(approx (sin (* x (PI))) #s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 (*.f32 x x) x)))) (*.f32 x (PI.f32))))
78.3%
(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
78.1%
(*.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))) #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))))
68.1%
(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
77.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau 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))))
68.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
74.3%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (exp.f32 (*.f32 (log.f32 x) #s(literal -2 binary32)))) (*.f32 x x)))) (/.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))))
77.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 tau 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))))
77.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))) (/.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))))
82.4%
(*.f32 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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))))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) #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)))
83.8%
#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 #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)))
78.6%
#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 #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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
79.5%
#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 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
79.5%
#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))) #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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (*.f32 (PI.f32) (PI.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))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
59.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
77.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #s(literal 1 binary32))))
78.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) #s(approx (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #s(literal 1 binary32))))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))))
78.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.f32 x x))) #s(literal 1 binary32))))
68.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau))) #s(literal 1 binary32))))
13.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
13.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))))
78.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))))
13.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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)))))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
63.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
76.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
63.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x))))))
4.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))))))
62.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
96.7%
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
97.0%
#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 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
Compiler

Compiled 7 596 to 3 576 computations (52.9% saved)

regimes134.0ms (2%)

Memory
-15.2MiB live, 164.5MiB allocated; 25ms collecting garbage
Counts
117 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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 #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))) (* x (PI))) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
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(*.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 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (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 (*.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) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) 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)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.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 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 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) 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)) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32))) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32))) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))) (log.f32 (pow.f32 (exp.f32 x) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (*.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (*.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))) (log.f32 (pow.f32 (+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) tau)) (*.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))))) (log.f32 (pow.f32 (pow.f32 (exp.f32 x) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

32.0ms
tau
31.0ms
x
31.0ms
(*.f32 x (PI.f32))
31.0ms
(*.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
98.1%1(*.f32 x (PI.f32))
98.1%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))))
98.1%1x
98.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes101.0ms (1.5%)

Memory
42.3MiB live, 130.3MiB allocated; 4ms collecting garbage
Counts
94 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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 #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))) (* x (PI))) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.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)))) (* (+ (* (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 #s(literal -1/6 binary32) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) #s(approx (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #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 (*.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 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (exp.f32 (*.f32 (log.f32 x) #s(literal -2 binary32)))) (*.f32 x x)))) (/.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 #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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) (log.f32 (exp.f32 x)) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (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 (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) #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)))
#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 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.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 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) 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 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#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 #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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 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 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 tau x) (PI.f32))))
Outputs
(/.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)))
Calls

4 calls:

24.0ms
(*.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))))
24.0ms
x
24.0ms
tau
23.0ms
(*.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)

regimes103.0ms (1.6%)

Memory
-5.7MiB live, 127.6MiB allocated; 14ms collecting garbage
Counts
92 → 1
Calls
Call 1
Inputs
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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 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.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 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) 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 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#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 #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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 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 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
Calls

4 calls:

26.0ms
x
24.0ms
(*.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))))
23.0ms
tau
22.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
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%1(*.f32 x (PI.f32))
97.8%1x
97.8%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes131.0ms (2%)

Memory
-15.2MiB live, 125.0MiB allocated; 82ms collecting garbage
Counts
88 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))))
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(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (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)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (*.f32 (PI.f32) (PI.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 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.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)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.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)))) (* (+ (* (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 #s(literal -1/6 binary32) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) #s(approx (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #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 (*.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 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (exp.f32 (*.f32 (log.f32 x) #s(literal -2 binary32)))) (*.f32 x x)))) (/.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 #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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) (log.f32 (exp.f32 x)) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (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 (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) #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)))
#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 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.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 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) 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 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#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 #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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x)))
Calls

4 calls:

55.0ms
(*.f32 x (PI.f32))
25.0ms
tau
24.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms
x
Results
AccuracySegmentsBranch
97.4%1(*.f32 x (PI.f32))
97.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%1x
97.4%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes95.0ms (1.4%)

Memory
34.6MiB live, 121.9MiB allocated; 6ms collecting garbage
Counts
87 → 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) #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)))
#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 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.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 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) 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 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#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 #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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (/ (sin (log (pow (exp (PI)) x))) (log (pow (exp (PI)) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (/ (sin (log (pow (+ (cosh (PI)) (sinh (PI))) x))) (log (pow (+ (cosh (PI)) (sinh (PI))) x)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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))))
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 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
Calls

4 calls:

23.0ms
x
23.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
22.0ms
tau
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.0%1(*.f32 x (PI.f32))
97.0%1x
97.0%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))))
97.0%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes93.0ms (1.4%)

Memory
-20.6MiB live, 117.1MiB allocated; 11ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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)))
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(*.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))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.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 (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)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (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 (*.f32 (PI.f32) (PI.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 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.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)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.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)))) (* (+ (* (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 #s(literal -1/6 binary32) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) #s(approx (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #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 (*.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 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (exp.f32 (*.f32 (log.f32 x) #s(literal -2 binary32)))) (*.f32 x x)))) (/.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 #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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) (log.f32 (exp.f32 x)) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.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 (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 (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) #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)))
#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 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.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 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) 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 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#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 #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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
Calls

4 calls:

23.0ms
x
23.0ms
tau
21.0ms
(*.f32 x (PI.f32))
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))))
Results
AccuracySegmentsBranch
91.3%1(*.f32 x (PI.f32))
91.3%1x
91.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
91.3%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes86.0ms (1.3%)

Memory
24.2MiB live, 112.1MiB allocated; 5ms collecting garbage
Counts
80 → 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 #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 tau tau)) #s(literal 1/36 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.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 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) 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 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
#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 #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)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

4 calls:

21.0ms
(*.f32 x (PI.f32))
20.0ms
x
20.0ms
tau
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))))
Results
AccuracySegmentsBranch
84.7%1(*.f32 x (PI.f32))
84.7%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))))
84.7%1x
84.7%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes76.0ms (1.1%)

Memory
4.4MiB live, 94.8MiB allocated; 10ms collecting garbage
Counts
66 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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 #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))) (* x (PI))) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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))) (*.f32 x x))) (*.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)))) (* (+ (* (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 #s(literal -1/6 binary32) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) #s(approx (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #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))))
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:

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))))
19.0ms
tau
16.0ms
x
16.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
84.7%1tau
84.7%1(*.f32 x (PI.f32))
84.7%1x
84.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes71.0ms (1.1%)

Memory
6.2MiB live, 94.4MiB allocated; 5ms collecting garbage
Counts
65 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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 #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))) (* x (PI))) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.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 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/36 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) #s(approx (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) #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 (* (* 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))) #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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

17.0ms
tau
17.0ms
x
16.0ms
(*.f32 x (PI.f32))
16.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
79.5%1tau
79.5%1(*.f32 x (PI.f32))
79.5%1x
79.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes63.0ms (1%)

Memory
-12.7MiB live, 80.9MiB allocated; 7ms collecting garbage
Counts
55 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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 #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))) (* x (PI))) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.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 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 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))) #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)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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)))))))
(*.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 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32))) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (fma.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 (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 #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 #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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau 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 #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 #s(approx (sin (* x (PI))) (*.f32 (-.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)))) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x)) 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))) #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(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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (*.f32 (*.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 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 tau 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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) (/.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 (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (exp (* (log (PI)) 2)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 #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 #s(approx (sin (* x (PI))) #s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 (*.f32 x x) x)))) (*.f32 x (PI.f32))))
Outputs
#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 #s(approx (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Calls

4 calls:

17.0ms
tau
15.0ms
(*.f32 x (PI.f32))
14.0ms
x
14.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
79.5%1(*.f32 x (PI.f32))
79.5%1x
79.5%1tau
79.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes54.0ms (0.8%)

Memory
29.6MiB live, 73.8MiB allocated; 1ms collecting garbage
Counts
49 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
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(*.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 (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x)) 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))) #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(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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau) (*.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x))) #s(literal 1 binary32))))
Calls

4 calls:

13.0ms
x
12.0ms
tau
12.0ms
(*.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))))
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
78.5%1(*.f32 x (PI.f32))
78.5%1x
78.5%1tau
78.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes61.0ms (0.9%)

Memory
-19.5MiB live, 72.6MiB allocated; 20ms collecting garbage
Counts
48 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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 #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))) (* x (PI))) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.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 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 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))) #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)) #s(approx (+ (* (* -1/6 (* tau tau)) (* (* (PI) (PI)) (* x x))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (exp (* (log (PI)) 2)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x)) (*.f32 tau tau))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) 1) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.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)))))))
(*.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 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32))) x)) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (exp (PI)) x)) tau)) (* (log (pow (exp (PI)) x)) tau)) (fma.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 (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 #s(approx (/ (sin (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (* (log (pow (+ (cosh (PI)) (sinh (PI))) x)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x) #s(literal 1 binary32))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 #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 #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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.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 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (*.f32 tau 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 #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 #s(approx (sin (* x (PI))) (*.f32 (-.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)))) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(approx (sin (log (pow (exp (PI)) x))) (*.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32) (PI.f32)) x)) 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))) #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(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 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) x)) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) #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 x (PI.f32))
14.0ms
tau
12.0ms
(*.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))))
12.0ms
x
Results
AccuracySegmentsBranch
78.1%1(*.f32 x (PI.f32))
78.1%1x
78.1%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))))
78.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes34.0ms (0.5%)

Memory
3.1MiB live, 47.9MiB allocated; 2ms collecting garbage
Counts
29 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.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)))) (fma.f32 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (pow (* (PI) tau) 4) 1/120) (+ (* (* 1/36 (* tau tau)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (* (PI) (PI)) (* (PI) (PI))) 1/120))) (* x x))) (*.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 #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))) (* x (PI))) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32))) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.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 #s(approx (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(approx (+ (* (* (+ (* (* 1/36 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x)) (* tau tau)) (* (+ (* (* 1/120 (* x x)) (* (* (* (PI) (PI)) (PI)) (PI))) (* (* (PI) (PI)) -1/6)) (* x x))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal 1/120 binary32) (*.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))))
Calls

4 calls:

8.0ms
(*.f32 x (PI.f32))
8.0ms
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))))
7.0ms
x
Results
AccuracySegmentsBranch
77.6%1(*.f32 x (PI.f32))
77.6%1x
77.6%1tau
77.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes20.0ms (0.3%)

Memory
29.6MiB live, 29.6MiB allocated; 0ms collecting garbage
Counts
15 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
Calls

4 calls:

5.0ms
(*.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))))
5.0ms
tau
4.0ms
x
4.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
77.6%1tau
77.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.6%1(*.f32 x (PI.f32))
77.6%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes19.0ms (0.3%)

Memory
-17.8MiB live, 26.6MiB allocated; 3ms collecting garbage
Counts
13 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #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)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 #s(approx (+ (* tau tau) 1) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x))))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau)) #s(literal 1 binary32))))
Calls

4 calls:

5.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
Results
AccuracySegmentsBranch
68.1%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))))
68.1%1tau
68.1%1(*.f32 x (PI.f32))
68.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes14.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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 #s(literal -1/6 binary32) (*.f32 x x)) #s(approx (* (+ (* tau tau) 1) (* (PI) (PI))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) tau) #s(literal -1/6 binary32)) (*.f32 x x)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #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
63.1%1tau
63.1%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))))
63.1%1(*.f32 x (PI.f32))
63.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes10.0ms (0.2%)

Memory
-29.1MiB live, 15.7MiB allocated; 2ms collecting garbage
Counts
5 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
Calls

4 calls:

4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
63.1%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))))
63.1%1(*.f32 x (PI.f32))
63.1%1x
63.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
2.0ms
tau
2.0ms
x
Results
AccuracySegmentsBranch
63.1%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))))
63.1%1(*.f32 x (PI.f32))
63.1%1x
63.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
3 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f32 x (PI.f32))
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
Results
AccuracySegmentsBranch
63.1%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))))
63.1%1(*.f32 x (PI.f32))
63.1%1x
63.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Accuracy

Total -18.8b remaining (-155.4%)

Threshold costs -18.8b (-155.4%)

Counts
2 → 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)))) #s(approx (+ (* (+ (* -1/6 (+ (* (* (PI) tau) (* (PI) tau)) (* (PI) (PI)))) (* (+ (* (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(approx (+ (* (* -1/6 (* x x)) (* (+ (* tau tau) 1) (* (PI) (PI)))) 1) #s(approx (+ (* (* (* (* (PI) (PI)) x) x) -1/6) 1) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 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
(*.f32 x (PI.f32))
1.0ms
tau
1.0ms
x
Results
AccuracySegmentsBranch
62.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
62.2%1(*.f32 x (PI.f32))
62.2%1x
62.2%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations743.0ms (11.3%)

Memory
7.1MiB live, 591.7MiB allocated; 81ms collecting garbage
Stop Event
fuel
Compiler

Compiled 558 to 174 computations (68.8% saved)

preprocess181.0ms (2.7%)

Memory
47.2MiB live, 470.4MiB allocated; 48ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 4 799 to 2 748 computations (42.7% saved)

end0.0ms (0%)

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

Profiling

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