Lanczos kernel

Time bar (total: 5.1s)

start0.0ms (0%)

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

analyze42.0ms (0.8%)

Memory
-0.2MiB live, 15.9MiB allocated; 45ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.7s (33%)

Memory
-99.4MiB live, 1 099.6MiB allocated; 1.9s collecting garbage
Samples
1.4s8 254×0valid
0.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult!: 779.0ms (61.4% of total)
ival-div!: 201.0ms (15.8% of total)
ival-sin: 166.0ms (13.1% of total)
ival-sinu: 119.0ms (9.4% of total)
adjust: 2.0ms (0.2% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
Bogosity

preprocess54.0ms (1.1%)

Memory
-8.0MiB live, 42.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
1141128
21051116
35765116
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(*.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 (0.6%)

Memory
40.4MiB live, 40.4MiB allocated; 0ms collecting garbage
Counts
10 → 33
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Calls

6 calls:

TimeVariablePointExpression
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
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))))
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))))

rewrite171.0ms (3.4%)

Memory
0.3MiB live, 183.8MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581276
02731210
116051190
085941137
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
43 → 96
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x))) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (PI.f32) tau (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x))) x))
#s(approx (* x (PI)) (*.f32 (PI.f32) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x)) #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval10.0ms (0.2%)

Memory
-30.9MiB live, 15.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 763 to 425 computations (75.9% saved)

prune13.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New722092
Fresh000
Picked011
Done000
Total722193
Accuracy
99.6%
Counts
93 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.4%
(/.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))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.5%
(*.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))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
✓97.9%
(*.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))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
92.4%
(*.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))))
▶86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
97.7%
(*.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)))
▶98.0%
(*.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))))
86.0%
(*.f32 (/.f32 #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)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
89.3%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (PI.f32) tau (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.5%
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.0%
#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)))
80.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
▶97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
▶64.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 069 to 726 computations (32.1% saved)

series36.0ms (0.7%)

Memory
9.4MiB live, 56.2MiB allocated; 3ms collecting garbage
Counts
37 → 60
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
#s(literal -1/6 binary32)
(*.f32 x x)
(*.f32 (PI.f32) (PI.f32))
#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 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)))
(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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* -1/6 (* x x)) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (* (* (* (PI) (PI)) (* x x)) tau) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (* (PI) (PI)) (* x x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (PI)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))))
#s(approx (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) x) #s(hole binary32 (/ (sin (* x (PI))) x)))
#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 (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
6.0ms
tau
@-inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
5.0ms
x
@inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
5.0ms
tau
@inf
((* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau 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) tau) (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (sin (* (PI) x)) (* (PI) x) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))

rewrite179.0ms (3.5%)

Memory
9.0MiB live, 198.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04352447
04882334
126112300
087262207
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
97 → 348
Calls
Call 1
Inputs
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(/.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))
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#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 (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.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)) x) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 x) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (PI.f32))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))))
(/.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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (*.f32 (PI.f32) tau))
(/.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)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
x
(log.f32 (pow.f32 (exp.f32 (PI.f32)) tau))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
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#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) tau) (*.f32 x x) (*.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (* (* (* (PI) (PI)) (* x x)) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
#s(approx (* (* (PI) (PI)) (* x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 x (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 binary32)))) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/720 binary32) (fma.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 8 binary32) (*.f32 (log.f32 tau) #s(literal 5 binary32)))) #s(literal -1/720 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) tau (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 8 binary32) (*.f32 (log.f32 tau) #s(literal 7 binary32)))))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))))
#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
#s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)))
#s(approx (/ (sin (* (PI) x)) x) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)))
#s(approx (/ (sin (* (PI) x)) x) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (/ (sin (* (PI) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx tau tau)
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 tau (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))))

eval46.0ms (0.9%)

Memory
-26.4MiB live, 54.5MiB allocated; 22ms collecting garbage
Compiler

Compiled 4 603 to 1 277 computations (72.3% saved)

prune68.0ms (1.3%)

Memory
-12.3MiB live, 56.5MiB allocated; 35ms collecting garbage
Pruning

48 alts after pruning (46 fresh and 2 done)

PrunedKeptTotal
New24240282
Fresh9615
Picked325
Done101
Total25548303
Accuracy
99.7%
Counts
303 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
▶97.8%
(/.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)))
▶97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
86.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
91.9%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
86.0%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
71.8%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
78.9%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
▶64.5%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
86.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 tau x)))
85.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
86.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
▶86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
92.4%
(*.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))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
86.4%
(*.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) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
97.7%
(*.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)))
✓98.0%
(*.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))))
86.2%
(*.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))))
71.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
92.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
81.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.0%
#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)))
80.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
96.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))))
97.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
97.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) tau))))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
96.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
94.3%
#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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) tau))))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))))
27.6%
#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 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) 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 (PI.f32) x) (*.f32 (PI.f32) x)) tau))))
95.3%
#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 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
91.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
85.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
71.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
✓64.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 852 to 1 993 computations (30.1% saved)

series47.0ms (0.9%)

Memory
3.9MiB live, 49.1MiB allocated; 8ms collecting garbage
Counts
41 → 66
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(/.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))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
#s(literal 1 binary32)
(*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
#s(literal 1/6 binary32)
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.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))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
#s(literal -1/6 binary32)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
Outputs
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* (* (PI) (PI)) x) #s(hole binary32 (* x (pow (PI) 2))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#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))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (* 1/6 (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (* 1/6 (* (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) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) (* 1/6 (pow (PI) 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* 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))))))))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) 1 (* 1/6 (* (* (* (PI) (PI)) x) x)) 1/6 (* (* (* (PI) (PI)) x) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (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))) (* x x) (* (* (PI) (PI)) (PI)) -1/6 (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* x (* (* (* (PI) x) tau) (PI)))) (* x (* (* (* (PI) x) tau) (PI))) (* (* (* (PI) x) tau) (PI)))
9.0ms
tau
@inf
((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) 1 (* 1/6 (* (* (* (PI) (PI)) x) x)) 1/6 (* (* (* (PI) (PI)) x) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (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))) (* x x) (* (* (PI) (PI)) (PI)) -1/6 (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* x (* (* (* (PI) x) tau) (PI)))) (* x (* (* (* (PI) x) tau) (PI))) (* (* (* (PI) x) tau) (PI)))
8.0ms
x
@inf
((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) 1 (* 1/6 (* (* (* (PI) (PI)) x) x)) 1/6 (* (* (* (PI) (PI)) x) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (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))) (* x x) (* (* (PI) (PI)) (PI)) -1/6 (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* x (* (* (* (PI) x) tau) (PI)))) (* x (* (* (* (PI) x) tau) (PI))) (* (* (* (PI) x) tau) (PI)))
6.0ms
x
@0
((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) 1 (* 1/6 (* (* (* (PI) (PI)) x) x)) 1/6 (* (* (* (PI) (PI)) x) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (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))) (* x x) (* (* (PI) (PI)) (PI)) -1/6 (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* x (* (* (* (PI) x) tau) (PI)))) (* x (* (* (* (PI) x) tau) (PI))) (* (* (* (PI) x) tau) (PI)))
4.0ms
tau
@-inf
((/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (sin (* (PI) x)) (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (* (PI) (PI)) x) tau) (* (* (PI) (PI)) x) (* (PI) (PI)) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) 1 (* 1/6 (* (* (* (PI) (PI)) x) x)) 1/6 (* (* (* (PI) (PI)) x) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (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))) (* x x) (* (* (PI) (PI)) (PI)) -1/6 (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* x (* (* (* (PI) x) tau) (PI)))) (* x (* (* (* (PI) x) tau) (PI))) (* (* (* (PI) x) tau) (PI)))

rewrite177.0ms (3.5%)

Memory
25.5MiB live, 182.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04542889
05152731
127302705
088592601
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
107 → 382
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(/.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))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
#s(literal 1 binary32)
(*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
#s(literal 1/6 binary32)
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.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))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
#s(literal -1/6 binary32)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* (* (PI) (PI)) x) #s(hole binary32 (* x (pow (PI) 2))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#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))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (* 1/6 (* (* (* (PI) (PI)) x) x)) #s(hole binary32 (* 1/6 (* (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) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) (* 1/6 (pow (PI) 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* 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))))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.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 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.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 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x))))) #s(literal -2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(-.f32 (/.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x))) #s(literal 2 binary32)))
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) x) tau)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
tau
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#s(approx (* (PI) x) (*.f32 (PI.f32) x))
#s(approx x x)
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#s(approx (* (* (PI) (PI)) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
#s(approx (* tau x) (*.f32 tau x))
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#s(approx (* 1/6 (* (* (* (PI) (PI)) x) x)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))
#s(approx (* (* (* (PI) (PI)) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
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#s(approx (* x x) (*.f32 x x))
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#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32)))
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#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 tau (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 tau (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)))

eval42.0ms (0.8%)

Memory
-32.7MiB live, 66.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 7 652 to 1 729 computations (77.4% saved)

prune59.0ms (1.2%)

Memory
7.0MiB live, 101.4MiB allocated; 5ms collecting garbage
Pruning

75 alts after pruning (71 fresh and 4 done)

PrunedKeptTotal
New33342375
Fresh122941
Picked325
Done022
Total34875423
Accuracy
99.7%
Counts
423 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
66.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
66.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
64.6%
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
86.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
86.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
✓97.8%
(/.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 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
85.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
86.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
85.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
▶97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))))
86.0%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
71.8%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
78.9%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
64.5%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
64.5%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
✓64.5%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
64.6%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
▶64.6%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
64.5%
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
64.6%
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
86.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
86.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
86.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
85.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 tau x)))
85.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
86.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
71.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
92.4%
(*.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))))
▶86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
86.4%
(*.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) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
▶86.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
✓98.0%
(*.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))))
86.2%
(*.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))))
71.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
92.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
97.5%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))))
85.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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))))
85.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
85.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
80.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
81.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
81.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.0%
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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)))
80.1%
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
97.0%
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (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))))
97.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
97.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) tau))))
96.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
94.3%
#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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) tau))))
27.6%
#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 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) 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 (PI.f32) x) (*.f32 (PI.f32) x)) tau))))
95.3%
#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 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
91.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
85.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
71.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
✓64.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 288 to 3 016 computations (29.7% saved)

series33.0ms (0.7%)

Memory
6.0MiB live, 52.9MiB allocated; 3ms collecting garbage
Counts
44 → 69
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))
(*.f32 (PI.f32) (PI.f32))
(*.f32 tau x)
(*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 x x)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
#s(literal 1/6 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau)
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
Outputs
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#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))) (* 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 (* (* (* x x) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (PI)))))
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (* (* (PI) x) (* (PI) x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) (* 1/6 (pow (PI) 2))))))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (- (/ 1 (pow x 2)) (* 1/6 (pow (PI) 2)))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (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 (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* 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))))))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (sin (* (PI) x)) (* (PI) x) (* (* x (* (PI) tau)) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) (* (* (* x x) -1/6) (PI)) (* (* x x) -1/6) (* x x) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (* (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (* x x)) (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/ 1 (* x x)) (* 1/6 (* (PI) (PI))) 1/6 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau))) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (* (* (* (PI) x) (* (PI) x)) tau) (* (* (PI) x) (* (PI) x)))
5.0ms
x
@inf
((/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (sin (* (PI) x)) (* (PI) x) (* (* x (* (PI) tau)) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) (* (* (* x x) -1/6) (PI)) (* (* x x) -1/6) (* x x) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (* (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (* x x)) (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/ 1 (* x x)) (* 1/6 (* (PI) (PI))) 1/6 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau))) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (* (* (* (PI) x) (* (PI) x)) tau) (* (* (PI) x) (* (PI) x)))
5.0ms
tau
@-inf
((/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (sin (* (PI) x)) (* (PI) x) (* (* x (* (PI) tau)) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) (* (* (* x x) -1/6) (PI)) (* (* x x) -1/6) (* x x) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (* (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (* x x)) (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/ 1 (* x x)) (* 1/6 (* (PI) (PI))) 1/6 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau))) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (* (* (* (PI) x) (* (PI) x)) tau) (* (* (PI) x) (* (PI) x)))
4.0ms
tau
@inf
((/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (sin (* (PI) x)) (* (PI) x) (* (* x (* (PI) tau)) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) (* (* (* x x) -1/6) (PI)) (* (* x x) -1/6) (* x x) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (* (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (* x x)) (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/ 1 (* x x)) (* 1/6 (* (PI) (PI))) 1/6 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau))) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (* (* (* (PI) x) (* (PI) x)) tau) (* (* (PI) x) (* (PI) x)))
4.0ms
x
@0
((/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) x (* (PI) tau) (PI) tau (sin (* (PI) x)) (* (PI) x) (* (* x (* (PI) tau)) (* (PI) x)) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (* (PI) (PI)) (* tau x)) (* (PI) (PI)) (* tau x) (* (PI) (* (* tau x) (PI))) (* (* tau x) (PI)) (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) (* (* (* x x) -1/6) (PI)) (* (* x x) -1/6) (* x x) -1/6 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* x (PI))) (* x (PI))) (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (* (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (* x x)) (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/ 1 (* x x)) (* 1/6 (* (PI) (PI))) 1/6 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau))) (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (* (* (* (PI) x) (* (PI) x)) tau) (* (* (PI) x) (* (PI) x)))

rewrite251.0ms (5%)

Memory
-27.8MiB live, 218.7MiB allocated; 94ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04873076
05512887
129462867
095612742
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
113 → 437
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))
(*.f32 (PI.f32) (PI.f32))
(*.f32 tau x)
(*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 x x)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
#s(literal 1/6 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau)
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* x (pow (PI) 2)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#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))) (* 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 (* (* (* x x) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (PI)))))
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (* (* (PI) x) (* (PI) x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (* (* (* x x) -1/6) (PI)) (PI)) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) (* 1/6 (pow (PI) 2))))))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (* -1/6 (pow (PI) 2))))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) #s(hole binary32 (- (/ 1 (pow x 2)) (* 1/6 (pow (PI) 2)))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (* (* x (* (PI) tau)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (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 (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* 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))))))))))
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 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) 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 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) tau) (*.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))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) 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 (*.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (sin.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 (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) tau) (*.f32 x x) (*.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (* (* (PI) x) (* (PI) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (sin (* x (* (PI) tau))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (sin (* (PI) x)) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32)))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
#s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) 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)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.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 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 tau (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
#s(approx (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 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* x (* (PI) tau))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 7 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx tau tau)
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) tau))
#s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 tau (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 6 binary32)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))

eval35.0ms (0.7%)

Memory
15.1MiB live, 62.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 736 to 1 792 computations (73.4% saved)

prune79.0ms (1.6%)

Memory
-11.3MiB live, 131.9MiB allocated; 10ms collecting garbage
Pruning

86 alts after pruning (79 fresh and 7 done)

PrunedKeptTotal
New34132373
Fresh194766
Picked145
Done134
Total36286448
Accuracy
99.7%
Counts
448 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
66.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
66.3%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
64.6%
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
64.6%
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
86.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
86.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
✓97.8%
(/.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)))
86.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
85.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x) x))
✓97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
85.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
71.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
86.0%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
71.8%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
78.9%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
64.5%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
64.5%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
64.5%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
64.6%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
✓64.6%
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
64.5%
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
64.7%
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
85.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
85.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
85.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
85.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 tau x)))
85.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
85.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
71.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
92.4%
(*.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))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (PI.f32) #s(literal 1 binary32))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
85.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
✓86.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
85.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
85.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))))
71.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
86.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))))
85.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) x))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))))
86.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
85.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (PI.f32) x)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
✓98.0%
(*.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))))
92.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
97.5%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))))
85.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
85.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
85.1%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
85.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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))))
85.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
85.5%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
80.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
81.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
81.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
80.6%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
81.0%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.0%
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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)))
80.1%
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
97.0%
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (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))))
94.3%
#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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) tau))))
27.6%
#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 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) 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 (PI.f32) x) (*.f32 (PI.f32) x)) tau))))
95.3%
#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 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
91.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
85.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
71.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
71.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
✓64.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 895 to 2 422 computations (50.5% saved)

regimes163.0ms (3.2%)

Memory
33.9MiB live, 150.7MiB allocated; 39ms collecting garbage
Counts
135 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.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)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
#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 (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 x x)) tau))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x))) (cos.f32 (fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #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)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))) 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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) tau))))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (PI.f32) tau (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (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:

55.0ms
tau
41.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.0ms
(*.f32 x (PI.f32))
30.0ms
x
Results
AccuracySegmentsBranch
98.0%1(*.f32 x (PI.f32))
98.0%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))))
98.0%1x
98.0%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes108.0ms (2.1%)

Memory
-3.9MiB live, 156.3MiB allocated; 14ms collecting garbage
Counts
107 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
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(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x x) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
Calls

4 calls:

27.0ms
tau
26.0ms
(*.f32 x (PI.f32))
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
24.0ms
x
Results
AccuracySegmentsBranch
97.8%1(*.f32 x (PI.f32))
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1x
97.8%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes98.0ms (1.9%)

Memory
-8.4MiB live, 135.2MiB allocated; 15ms collecting garbage
Counts
96 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.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)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.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 (*.f32 (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #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))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#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 (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (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))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))))
Calls

4 calls:

25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
24.0ms
tau
23.0ms
(*.f32 x (PI.f32))
22.0ms
x
Results
AccuracySegmentsBranch
97.5%1(*.f32 x (PI.f32))
97.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%1x
97.5%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes97.0ms (1.9%)

Memory
-13.4MiB live, 130.8MiB allocated; 17ms collecting garbage
Counts
92 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
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(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.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 (*.f32 (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #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))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#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 (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 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 (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (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))))
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
tau
22.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms
x
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.1%1(*.f32 x (PI.f32))
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%1x
97.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes88.0ms (1.7%)

Memory
32.8MiB live, 126.2MiB allocated; 5ms collecting garbage
Counts
89 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
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(*.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 (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) 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 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
Calls

4 calls:

22.0ms
(*.f32 x (PI.f32))
22.0ms
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
97.1%1(*.f32 x (PI.f32))
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%1x
97.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes89.0ms (1.7%)

Memory
-17.6MiB live, 125.1MiB allocated; 9ms 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))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.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)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.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 (*.f32 (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #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))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#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 (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) 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 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))))
Calls

4 calls:

22.0ms
tau
21.0ms
(*.f32 x (PI.f32))
20.0ms
x
19.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.0%1(*.f32 x (PI.f32))
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%1x
97.0%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes101.0ms (2%)

Memory
31.2MiB live, 107.7MiB allocated; 23ms collecting garbage
Counts
86 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.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 (*.f32 (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #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))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
#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 (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
Calls

4 calls:

37.0ms
(*.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
20.0ms
tau
19.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
92.4%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))))
92.4%1(*.f32 x (PI.f32))
92.4%1x
92.4%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes82.0ms (1.6%)

Memory
-16.6MiB live, 94.4MiB allocated; 6ms collecting garbage
Counts
82 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.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)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.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 (*.f32 (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #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))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
Calls

4 calls:

21.0ms
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))))
19.0ms
x
18.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
91.5%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))))
91.5%1(*.f32 x (PI.f32))
91.5%1x
91.5%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes87.0ms (1.7%)

Memory
-11.7MiB live, 124.8MiB allocated; 16ms collecting garbage
Counts
81 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
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(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) (/.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)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) (*.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 (*.f32 (exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #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))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))))))
Calls

4 calls:

25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
20.0ms
tau
20.0ms
(*.f32 x (PI.f32))
19.0ms
x
Results
AccuracySegmentsBranch
86.4%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))))
86.4%1(*.f32 x (PI.f32))
86.4%1x
86.4%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes76.0ms (1.5%)

Memory
17.9MiB live, 111.1MiB allocated; 5ms collecting garbage
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.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)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (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 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (PI.f32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x))))
Calls

4 calls:

19.0ms
tau
19.0ms
(*.f32 x (PI.f32))
17.0ms
x
17.0ms
(*.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
86.4%1(*.f32 x (PI.f32))
86.4%1x
86.4%1tau
86.4%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes40.0ms (0.8%)

Memory
11.1MiB live, 57.5MiB allocated; 3ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
Calls

4 calls:

11.0ms
(*.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))))
9.0ms
tau
9.0ms
x
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
86.4%1(*.f32 x (PI.f32))
86.4%1x
86.4%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))))
86.4%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes44.0ms (0.9%)

Memory
7.0MiB live, 59.4MiB allocated; 13ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (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 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (PI.f32) #s(literal 1 binary32))))
Calls

4 calls:

15.0ms
(*.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))))
9.0ms
tau
9.0ms
x
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
86.4%1(*.f32 x (PI.f32))
86.4%1x
86.4%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))))
86.4%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes34.0ms (0.7%)

Memory
4.6MiB live, 51.7MiB allocated; 2ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (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))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
(*.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))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
Calls

4 calls:

9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
x
8.0ms
tau
8.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
86.4%1(*.f32 x (PI.f32))
86.4%1x
86.4%1tau
86.4%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes32.0ms (0.6%)

Memory
2.3MiB live, 49.1MiB allocated; 3ms 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))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
Calls

4 calls:

9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms
tau
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
Results
AccuracySegmentsBranch
86.4%1(*.f32 x (PI.f32))
86.4%1x
86.4%1tau
86.4%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes31.0ms (0.6%)

Memory
0.6MiB live, 47.6MiB allocated; 2ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

9.0ms
tau
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
81.0%1(*.f32 x (PI.f32))
81.0%1x
81.0%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))))
81.0%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes30.0ms (0.6%)

Memory
-4.0MiB live, 45.3MiB allocated; 4ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) (/.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)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) x) (* (PI) x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau x) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(approx (- 1 (* 1/6 (* (* (* (PI) (PI)) x) x))) (*.f32 #s(approx (- (/ 1 (* x x)) (* 1/6 (* (PI) (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau 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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x)))))
Calls

4 calls:

8.0ms
tau
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
81.0%1(*.f32 x (PI.f32))
81.0%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))))
81.0%1x
81.0%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes19.0ms (0.4%)

Memory
-17.4MiB live, 29.6MiB allocated; 2ms 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))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.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 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
Outputs
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
Calls

4 calls:

6.0ms
x
4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
81.0%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))))
81.0%1tau
81.0%1(*.f32 x (PI.f32))
81.0%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes18.0ms (0.3%)

Memory
-18.9MiB live, 28.2MiB allocated; 2ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (* x (* (PI) tau))) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32))))
(/.f32 #s(approx (* (sin (* (* (PI) x) tau)) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
Outputs
#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)))
Calls

4 calls:

5.0ms
tau
4.0ms
x
4.0ms
(*.f32 x (PI.f32))
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
80.1%1tau
80.1%1(*.f32 x (PI.f32))
80.1%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))))
80.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes12.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.2b remaining (-1.8%)

Threshold costs -0.2b (-1.8%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x)) (PI.f32)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)) (PI.f32)) (*.f32 (*.f32 (PI.f32) x) tau))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

3.0ms
(*.f32 x (PI.f32))
3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
x
3.0ms
tau
Results
AccuracySegmentsBranch
64.9%1tau
64.9%1(*.f32 x (PI.f32))
64.9%1x
64.9%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations631.0ms (12.4%)

Memory
-6.0MiB live, 509.4MiB allocated; 85ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 334 to 133 computations (60.2% saved)

preprocess145.0ms (2.9%)

Memory
3.9MiB live, 335.0MiB allocated; 28ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 2 595 to 1 711 computations (34.1% saved)

end0.0ms (0%)

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

Profiling

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