Lanczos kernel

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze20.0ms (0.3%)

Memory
3.1MiB live, 39.5MiB allocated; 10ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.1s (16.5%)

Memory
56.4MiB live, 1 047.6MiB allocated; 937ms collecting garbage
Samples
909.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 740.0ms
ival-mult!: 394.0ms (53.2% of total)
ival-sinu: 153.0ms (20.7% of total)
ival-sin: 121.0ms (16.3% of total)
ival-div!: 69.0ms (9.3% of total)
adjust: 1.0ms (0.1% of total)
ival-and: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess51.0ms (0.8%)

Memory
-7.5MiB live, 36.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032136
196136
2438128
32215128
43963128
55871128
67028128
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Symmetry

(abs x)

(abs tau)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series34.0ms (0.5%)

Memory
5.3MiB live, 48.4MiB allocated; 13ms collecting garbage
Counts
10 → 38
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
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))))
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))))

rewrite254.0ms (3.8%)

Memory
13.7MiB live, 215.9MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631349
02791327
115991307
080471250
Stop Event
iter-limit
node-limit
iter-limit
Counts
48 → 101
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
Outputs
(*.f32 (/.f32 (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 (/.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 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (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 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) #s(literal 1/120 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 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 6 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 (PI.f32) x (*.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)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))))) (*.f32 tau tau))) tau))
#s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (PI.f32) x (*.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)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 7 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau))) tau))
#s(approx tau tau)

eval9.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 922 to 483 computations (74.9% saved)

prune57.0ms (0.8%)

Memory
-28.4MiB live, 29.7MiB allocated; 13ms collecting garbage
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New9125116
Fresh000
Picked101
Done000
Total9225117
Accuracy
99.3%
Counts
117 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
97.2%
(/.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))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
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))))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))) (*.f32 x (PI.f32))))
83.9%
(*.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))))
93.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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))))
90.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
70.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
97.5%
(*.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)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
77.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.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)))
76.8%
#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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
64.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.6%
#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 x x)) tau))))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 206 to 782 computations (35.2% saved)

series169.0ms (2.5%)

Memory
-8.3MiB live, 80.0MiB allocated; 8ms collecting garbage
Counts
34 → 137
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 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))
(*.f32 (PI.f32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.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) x) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
Outputs
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* tau x) (PI))) #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 (* (* tau x) (PI))) #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 (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#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 (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
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#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))))))))))
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#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
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#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* 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))))))))))
Calls

6 calls:

TimeVariablePointExpression
79.0ms
x
@-inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (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) (* 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)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (PI) x) (* (PI) x)))
45.0ms
tau
@-inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (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) (* 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)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (PI) x) (* (PI) x)))
12.0ms
x
@inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (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) (* 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)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (PI) x) (* (PI) x)))
10.0ms
x
@0
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (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) (* 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)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (PI) x) (* (PI) x)))
8.0ms
tau
@inf
((/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (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) (* 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)) (* (PI) (PI)) -1/6 (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) tau) (* (* (PI) x) (* (PI) x)))

rewrite204.0ms (3%)

Memory
30.2MiB live, 252.8MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06075599
06715333
134975325
081945103
Stop Event
iter-limit
node-limit
iter-limit
Counts
171 → 600
Calls
Call 1
Inputs
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(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
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(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32)))
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#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau 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))))))))))))))))
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#s(approx x #s(hole binary32 x))
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#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
#s(approx (* (* x x) (* (* (PI) (PI)) (PI))) #s(hole binary32 (* (pow x 2) (pow (PI) 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (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 x) (PI))) (/ (sin (* (* tau x) (PI))) (* (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 x) (PI))) (/ (sin (* (* tau x) (PI))) (* (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 x) (PI))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))))))))) (pow (PI) 2)))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (PI))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))))
#s(approx (* (* (PI) x) (* (PI) x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (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 x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) tau)))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (sin (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) #s(hole binary32 (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* x (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) #s(hole binary32 (+ (* 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))))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
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tau
x
(PI.f32)
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#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(literal 1 binary32))
#s(literal 1 binary32)
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#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 x x) x)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (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)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (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 (exp.f32 (fma.f32 (log.f32 x) #s(literal 7 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #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 (* (* tau x) (PI))) tau) (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)))
#s(approx (/ (sin (* (* tau x) (PI))) tau) (fma.f32 (PI.f32) x (*.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)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))))) (*.f32 tau tau))))
#s(approx (/ (sin (* (* tau x) (PI))) tau) (fma.f32 (PI.f32) x (*.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)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 7 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau))))

eval43.0ms (0.6%)

Memory
-16.6MiB live, 88.0MiB allocated; 17ms collecting garbage
Compiler

Compiled 7 662 to 1 764 computations (77% saved)

prune102.0ms (1.5%)

Memory
-1.8MiB live, 90.5MiB allocated; 5ms collecting garbage
Pruning

61 alts after pruning (58 fresh and 3 done)

PrunedKeptTotal
New40846454
Fresh81220
Picked235
Done000
Total41861479
Accuracy
99.4%
Counts
479 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (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 (PI.f32) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
83.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x tau) (PI.f32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
83.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
83.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (neg.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 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
92.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (sin.f32 (*.f32 (PI.f32) x))) (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32)))))
70.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.8%
(/.f32 (*.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)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
83.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
90.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
70.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
77.2%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.7%
(/.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)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 x tau) (PI.f32))))
63.0%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
76.0%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
63.9%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
83.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
83.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (PI.f32)))
84.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
83.9%
(*.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 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
83.7%
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
93.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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))))
90.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
70.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.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)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
96.7%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
82.7%
(*.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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
82.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
77.2%
(*.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) x) (PI.f32)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
77.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) 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))))
89.9%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
69.9%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.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)))
76.8%
#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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
64.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.6%
#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 x x)) tau))))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 3 255 to 2 292 computations (29.6% saved)

series114.0ms (1.7%)

Memory
22.4MiB live, 72.7MiB allocated; 38ms collecting garbage
Counts
43 → 168
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(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(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(neg.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)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 tau (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)
Outputs
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 1))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #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 tau) (PI))) #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 tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #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)) (* (* x tau) (PI))) #s(hole binary32 (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#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 (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))) (pow (PI) 2)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))))))))) (pow (PI) 2)))))
#s(approx (* (* (* (PI) x) (PI)) x) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (* (PI) x) (PI)) #s(hole binary32 (* x (pow (PI) 2))))
#s(approx (* (* (PI) x) (* (PI) x)) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (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 x) (PI))) (/ (sin (* (* tau x) (PI))) (* (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 x) (PI))) (/ (sin (* (* tau x) (PI))) (* (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 x) (PI))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 1))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#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 (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 tau))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))))
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#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (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))))))
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#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* -1 (* tau (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #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)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #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)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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))))))))))))))
Calls

6 calls:

TimeVariablePointExpression
76.0ms
tau
@0
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (PI)) (* (* (PI) x) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI)))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* tau (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau))
7.0ms
x
@-inf
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (PI)) (* (* (PI) x) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI)))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* tau (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau))
7.0ms
x
@inf
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (PI)) (* (* (PI) x) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI)))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* tau (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau))
6.0ms
x
@0
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (PI)) (* (* (PI) x) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI)))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* tau (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau))
6.0ms
tau
@-inf
((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (PI)) (* (* (PI) x) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI)))) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* tau (neg (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau))

rewrite259.0ms (3.8%)

Memory
2.5MiB live, 319.1MiB allocated; 80ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07346991
08106619
141606615
083326339
Stop Event
iter-limit
node-limit
iter-limit
Counts
211 → 453
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)
(*.f32 (*.f32 (PI.f32) x) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(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(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(neg.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)))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 tau (neg.f32 (*.f32 (PI.f32) x)))
(neg.f32 (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 1))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #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 tau) (PI))) #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 tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ 1 (* tau (* x (PI))))))
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#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (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 tau) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (* (* (PI) x) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (* x (* (PI) (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) #s(hole binary32 (+ (* 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 x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) #s(hole binary32 (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (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 tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (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 tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* -1 (* tau (sin (* x (PI)))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) #s(hole binary32 (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #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)) (sin (* (* x tau) (PI)))) (* (* (* (* (PI) x) (PI)) x) tau)) #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)) (sin (* (* x tau) (PI)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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)) (sin (* (* x tau) (PI)))) #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))))))))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 tau x)))
(sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(*.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))
(*.f32 tau x)
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (PI.f32))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 tau x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) (*.f32 (neg.f32 (PI.f32)) x))
(/.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))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))
(*.f32 (neg.f32 (*.f32 (fabs.f32 x) (PI.f32))) (neg.f32 (*.f32 (fabs.f32 x) (PI.f32))))
(*.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (fabs.f32 (*.f32 (fabs.f32 x) (PI.f32))) (fabs.f32 (*.f32 (fabs.f32 x) (PI.f32))))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (fabs.f32 x) (PI.f32)) (*.f32 (fabs.f32 x) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(pow.f32 (*.f32 (fabs.f32 x) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(fabs.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) x) (PI.f32))
(*.f32 (neg.f32 (*.f32 (fabs.f32 x) (PI.f32))) (neg.f32 (*.f32 (fabs.f32 x) (PI.f32))))
(*.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(*.f32 (fabs.f32 (*.f32 (fabs.f32 x) (PI.f32))) (fabs.f32 (*.f32 (fabs.f32 x) (PI.f32))))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (fabs.f32 x) (PI.f32)) (*.f32 (fabs.f32 x) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) x) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(pow.f32 (*.f32 (fabs.f32 x) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) x) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(fabs.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) x)) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) x))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal -1/6 binary32)) (neg.f32 tau) (*.f32 tau #s(literal -1 binary32))) (*.f32 tau (neg.f32 tau)))
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal -1/6 binary32)) tau (*.f32 tau #s(literal 1 binary32))) (*.f32 tau tau))
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#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.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)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)) tau) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.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 (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (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 (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x)) #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 (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 (PI.f32) x))
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (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 (* (PI) x) (*.f32 (PI.f32) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.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 tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (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 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #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 (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (fma.f32 (PI.f32) (PI.f32) (*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 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))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x))) (*.f32 x x)))
#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 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))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 tau tau)) #s(literal -1/720 binary32) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 8 binary32) (*.f32 (log.f32 tau) #s(literal 6 binary32)))) (pow.f32 (PI.f32) #s(literal 8 binary32)))))) (*.f32 x x))))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))
#s(approx (* (* (PI) x) (* (PI) x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))
#s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
#s(approx (* (* (PI) x) (* (PI) x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.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 tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (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 (exp.f32 (fma.f32 (log.f32 tau) #s(literal 6 binary32) (*.f32 (log.f32 (PI.f32)) #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 (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau)) #s(literal 1/120 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) tau) #s(literal 1/120 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x)) tau) #s(literal -1/5040 binary32))) (*.f32 x x) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (/.f32 #s(literal 1 binary32) tau))
#s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32))
#s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (* -1/6 (* x x)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau)
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 x x)))) (*.f32 x x))) (*.f32 x x) tau))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x)))
#s(approx (sin (* (* x tau) (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x tau) (PI))) (*.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 tau) (PI))) (*.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 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 5 binary32) (*.f32 (log.f32 tau) #s(literal 5 binary32)))) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x))) x))
#s(approx (* (* x tau) (PI)) (*.f32 (PI.f32) (*.f32 tau x)))
#s(approx (* x tau) (*.f32 tau x))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) #s(literal 1 binary32))
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#s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
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#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (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 tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (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 (*.f32 x x) x)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* x tau) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #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)) (sin (* (* x tau) (PI)))) (*.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 (exp.f32 (fma.f32 (log.f32 x) #s(literal 7 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #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))))))

eval46.0ms (0.7%)

Memory
-8.9MiB live, 96.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 8 153 to 2 155 computations (73.6% saved)

prune165.0ms (2.4%)

Memory
-10.3MiB live, 83.4MiB allocated; 4ms collecting garbage
Pruning

86 alts after pruning (82 fresh and 4 done)

PrunedKeptTotal
New45546501
Fresh173653
Picked415
Done033
Total47686562
Accuracy
99.5%
Counts
562 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) tau)
63.0%
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x tau) (PI.f32)))
83.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (neg (sin (* x (PI)))) (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32))) (PI.f32)) x))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
83.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (neg.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 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
70.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 x (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (PI.f32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x tau)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 x (*.f32 (*.f32 x tau) (PI.f32))))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
64.0%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (*.f32 tau x) (PI.f32)))
90.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
83.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) tau) (*.f32 (PI.f32) (PI.f32))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (*.f32 tau x)))
92.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32)))) tau))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
77.2%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.3%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) x))
83.7%
(/.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)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 x tau) (PI.f32))))
69.9%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
63.0%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
62.9%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
76.0%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
63.9%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
83.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
83.9%
(*.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 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
83.7%
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
93.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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))))
90.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
70.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 tau x))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
97.5%
(*.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)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
90.4%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
83.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
70.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (PI.f32))))
89.8%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
83.4%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
96.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
82.7%
(*.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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
82.7%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
77.2%
(*.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) x) (PI.f32)) x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
77.8%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) 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))))
89.9%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal -1/6 binary32)) tau (*.f32 tau #s(literal 1 binary32))) (*.f32 tau tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) x))
83.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (PI.f32)))
83.8%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)) (*.f32 (neg.f32 (PI.f32)) x)))
82.7%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
77.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
82.7%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau)))
77.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
69.9%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau) #s(literal -1/6 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
76.8%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
64.0%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
96.6%
#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 x x)) tau))))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 4 782 to 3 551 computations (25.7% saved)

series57.0ms (0.8%)

Memory
25.6MiB live, 70.1MiB allocated; 15ms collecting garbage
Counts
43 → 178
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(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(literal 1 binary32)
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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))))
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau)
#s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)
(*.f32 (*.f32 (PI.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 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)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))
Outputs
#s(approx (* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) #s(hole binary32 (PI)))
#s(approx (/ (sin (* (* x tau) (PI))) (* x tau)) #s(hole binary32 (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* x tau)) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* x tau)) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
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#s(approx (/ (sin (* (* x tau) (PI))) tau) #s(hole binary32 (/ (sin (* tau (* x (PI)))) tau)))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1/6 (* (pow x 3) (pow (PI) 3)))))
#s(approx (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* (pow x 3) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 3)))))
#s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))))
#s(approx (* (/ (sin (* (* 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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 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 (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (pow (PI) 3)))))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) #s(hole binary32 (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5)))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* x tau)) #s(hole binary32 (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))
#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
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#s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) #s(hole binary32 (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
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#s(approx (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
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#s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) #s(hole binary32 (* x (* (PI) (sin (* x (PI)))))))
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#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 (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #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))))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
tau
@0
((* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* x tau) (PI))) (* x tau)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (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 (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)))
8.0ms
x
@-inf
((* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* x tau) (PI))) (* x tau)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (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 (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)))
7.0ms
x
@inf
((* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* x tau) (PI))) (* x tau)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (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 (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)))
6.0ms
tau
@-inf
((* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* x tau) (PI))) (* x tau)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (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 (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)))
5.0ms
tau
@inf
((* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* x tau) (PI))) (* x tau)) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) 1 (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (* tau x) (PI))) (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (sin (* x (PI))) (* x (PI))) (/ (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (* (* (* (PI) x) (PI)) x)) (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI))) (* (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) x) (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (* (* x x) (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (* (* (PI) x) (PI)) x) (* (* (PI) x) (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 (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau)) (* (* (* (PI) (PI)) (* x x)) tau) (* (* (PI) (PI)) (* x x)))

rewrite199.0ms (2.9%)

Memory
5.6MiB live, 292.5MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07277367
08067187
140446981
080416682
Stop Event
iter-limit
node-limit
iter-limit
Counts
221 → 565
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau))
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 x tau)
x
tau
(PI.f32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)
(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)
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#s(literal 1 binary32)
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau)
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(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 tau x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
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(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)
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(*.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 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))
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#s(approx (/ (sin (* (* x tau) (PI))) (* x tau)) #s(hole binary32 (PI)))
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#s(approx (/ (sin (* (* x tau) (PI))) (* x tau)) #s(hole binary32 (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5)))))))))
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#s(approx (sin (* (* x tau) (PI))) #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 tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
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#s(approx x #s(hole binary32 x))
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#s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (PI)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 5))) (* 1/120 (pow (PI) 3)))))) (/ 1 (PI)))))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(hole binary32 1))
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#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
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#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 (* (PI) x) #s(hole binary32 (* x (PI))))
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#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(hole binary32 (/ 1 tau)))
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#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 tau))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (* (* (PI) (PI)) (* x x)) tau))) #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))))))
Outputs
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (neg.f32 (PI.f32)) tau))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau x))))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (PI.f32)) (*.f32 tau x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) (neg.f32 (*.f32 tau x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 tau x)) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 tau x)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 x (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 x (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 x (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (neg.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 tau x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))) (*.f32 (*.f32 (PI.f32) x) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) 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 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.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 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) (neg.f32 (*.f32 tau 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 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.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 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (neg.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))))
(/.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 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 tau x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (neg.f32 tau) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)))
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#s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
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#s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
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#s(approx (/ (sin (* (* x tau) (PI))) tau) (fma.f32 (PI.f32) x (*.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)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))))) (*.f32 tau tau))))
#s(approx (/ (sin (* (* x tau) (PI))) tau) (fma.f32 (PI.f32) x (*.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)) (exp.f32 (fma.f32 (log.f32 x) #s(literal 7 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 7 binary32)))) (*.f32 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 5 binary32)))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau))))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 tau) (PI))) (* x tau)) (/ (/ (sin (* (PI) 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 (exp.f32 (fma.f32 (log.f32 x) #s(literal 5 binary32) (*.f32 (log.f32 (PI.f32)) #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))))

eval47.0ms (0.7%)

Memory
2.8MiB live, 100.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 8 152 to 2 212 computations (72.9% saved)

prune117.0ms (1.7%)

Memory
4.5MiB live, 239.3MiB allocated; 26ms collecting garbage
Pruning

119 alts after pruning (115 fresh and 4 done)

PrunedKeptTotal
New45358511
Fresh205777
Picked325
Done224
Total478119597
Accuracy
99.6%
Counts
597 → 119
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (cos.f32 (fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 tau x))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
96.9%
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) x)
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) tau)
83.5%
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 tau x)) (PI.f32))
63.0%
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
97.7%
(/.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))
96.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))) (*.f32 (PI.f32) (PI.f32)))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) x) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (*.f32 (PI.f32) tau))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) tau))
83.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
84.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x tau) (PI.f32)))
83.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (neg (sin (* x (PI)))) (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32))) (PI.f32)) x))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))
83.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
83.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
70.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 x (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (PI.f32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) x) tau)))
83.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
64.0%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))) (*.f32 tau x))
83.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
83.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
90.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau 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) x) (PI.f32)) x))))) (*.f32 (*.f32 tau x) (PI.f32)))
84.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
83.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (*.f32 tau x)))
92.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32)))) tau))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
76.7%
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
64.0%
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
77.2%
(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
83.3%
(/.f32 (*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x)))) (*.f32 (PI.f32) x))
83.7%
(/.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)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 x tau) (PI.f32))))
69.9%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
75.7%
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
62.9%
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
76.0%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
63.9%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
63.0%
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
83.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (PI.f32)))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (+.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
90.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
84.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
70.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
90.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
70.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
93.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
90.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 tau x))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
97.5%
(*.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)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
90.4%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
83.9%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
70.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (PI.f32))))
89.8%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
83.4%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
96.7%
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
77.2%
(*.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) x) (PI.f32)) 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))))
64.2%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) 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))))
64.1%
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
89.9%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
83.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal -1/6 binary32)) tau (*.f32 tau #s(literal 1 binary32))) (*.f32 tau tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) x))
77.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
83.8%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))))
82.7%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) (*.f32 tau tau) #s(literal 1 binary32)) tau)))
82.7%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)) tau)))
77.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
83.5%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
4.3%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
69.9%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
63.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
64.1%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
83.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau) #s(literal -1/6 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
83.4%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
64.0%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
4.3%
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
76.8%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
64.0%
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))))
94.4%
#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))))
92.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (exp.f32 (log.f32 x)) #s(literal 2 binary32))) tau))))
96.6%
#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 x x)) tau))))
96.5%
#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 x x) tau) (*.f32 (PI.f32) (PI.f32))))))
69.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
70.0%
#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)))))
63.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 6 359 to 3 273 computations (48.5% saved)

regimes293.0ms (4.3%)

Memory
-45.2MiB live, 360.7MiB allocated; 122ms collecting garbage
Counts
176 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (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))) (/.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))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

85.0ms
tau
82.0ms
(*.f32 x (PI.f32))
68.0ms
x
47.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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)

regimes152.0ms (2.3%)

Memory
35.3MiB live, 317.1MiB allocated; 19ms collecting garbage
Counts
143 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (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))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau 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) x) (PI.f32)) x))))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
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(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (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 (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 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.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 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) 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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) tau) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (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 (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 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (PI.f32) x)))
Calls

4 calls:

37.0ms
tau
37.0ms
x
36.0ms
(*.f32 x (PI.f32))
35.0ms
(*.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
97.6%1(*.f32 x (PI.f32))
97.6%1x
97.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes232.0ms (3.4%)

Memory
-7.8MiB live, 280.9MiB allocated; 16ms collecting garbage
Counts
134 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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(/.f32 (*.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)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (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 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (neg (sin (* x (PI)))) (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32))) (PI.f32)) x))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (PI.f32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 x (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (neg.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 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) 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 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* 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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (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 (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 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.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 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) 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 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) (*.f32 tau x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 x x) tau) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
Calls

4 calls:

91.0ms
tau
50.0ms
x
48.0ms
(*.f32 x (PI.f32))
36.0ms
(*.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
97.5%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)

regimes182.0ms (2.7%)

Memory
-18.6MiB live, 225.0MiB allocated; 17ms collecting garbage
Counts
128 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
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(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.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 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)) (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 tau x)))) (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))))
Calls

4 calls:

64.0ms
tau
42.0ms
x
40.0ms
(*.f32 x (PI.f32))
31.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.3%1(*.f32 x (PI.f32))
97.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%1x
97.3%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes159.0ms (2.3%)

Memory
25.2MiB live, 213.0MiB allocated; 14ms collecting garbage
Counts
125 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) 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 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* 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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (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 (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 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.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 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
Calls

4 calls:

46.0ms
tau
43.0ms
(*.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))))
34.0ms
(*.f32 x (PI.f32))
30.0ms
x
Results
AccuracySegmentsBranch
96.7%1(*.f32 x (PI.f32))
96.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%1x
96.7%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes231.0ms (3.4%)

Memory
-20.2MiB live, 397.2MiB allocated; 35ms collecting garbage
Counts
123 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (neg (sin (* x (PI)))) (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32))) (PI.f32)) x))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (PI.f32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 x (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (neg.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 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) 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 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* 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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (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 (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 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.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))))
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:

122.0ms
tau
36.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
33.0ms
x
31.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
96.6%1(*.f32 x (PI.f32))
96.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.6%1x
96.6%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes136.0ms (2%)

Memory
29.2MiB live, 325.8MiB allocated; 26ms collecting garbage
Counts
122 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
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(/.f32 (*.f32 #s(approx (/ (sin (* (* tau x) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) 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) x) (PI.f32)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 tau 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 (/.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 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (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 (PI.f32) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.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)) x) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x tau) (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 (PI.f32) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (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)) x)) (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (neg (sin (* x (PI)))) (*.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32))) (PI.f32)) x))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (PI.f32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 x (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (neg.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 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) 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 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* 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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (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 (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 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.f32 (PI.f32) (PI.f32))))))
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 x x) tau) (*.f32 (PI.f32) (PI.f32))))))
Calls

4 calls:

39.0ms
tau
33.0ms
x
30.0ms
(*.f32 x (PI.f32))
29.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
96.5%1(*.f32 x (PI.f32))
96.5%1x
96.5%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))))
96.5%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes126.0ms (1.9%)

Memory
-2.4MiB live, 281.0MiB allocated; 12ms collecting garbage
Counts
121 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 #s(approx (+ (* (* (* x x) (* (* (PI) (PI)) (PI))) -1/6) (PI)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) tau) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.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 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
Calls

4 calls:

31.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
30.0ms
x
30.0ms
tau
29.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
90.7%1(*.f32 x (PI.f32))
90.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
90.7%1x
90.7%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes123.0ms (1.8%)

Memory
-10.7MiB live, 280.9MiB allocated; 15ms collecting garbage
Counts
115 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (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))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
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(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* 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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (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:

32.0ms
(*.f32 x (PI.f32))
30.0ms
tau
28.0ms
x
28.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
90.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
90.6%1(*.f32 x (PI.f32))
90.6%1x
90.6%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes118.0ms (1.7%)

Memory
-23.7MiB live, 262.7MiB allocated; 8ms collecting garbage
Counts
114 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) 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 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* 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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
Calls

4 calls:

29.0ms
x
28.0ms
tau
28.0ms
(*.f32 x (PI.f32))
27.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
90.4%1(*.f32 x (PI.f32))
90.4%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))))
90.4%1x
90.4%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes118.0ms (1.7%)

Memory
14.4MiB live, 301.5MiB allocated; 9ms collecting garbage
Counts
113 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 x (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (neg.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 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin (* x (PI))) (fma.f32 (PI.f32) x (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) 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 (*.f32 (PI.f32) x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (* 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) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) tau)) #s(literal -1/6 binary32))) (*.f32 x x) tau)))
(*.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)) (*.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (PI.f32) (*.f32 x x))) (*.f32 x x))) x)) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (PI.f32)))))
Calls

4 calls:

29.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
28.0ms
x
28.0ms
tau
28.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
90.4%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))))
90.4%1(*.f32 x (PI.f32))
90.4%1x
90.4%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes168.0ms (2.5%)

Memory
16.2MiB live, 291.3MiB allocated; 84ms collecting garbage
Counts
106 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) x) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 (PI.f32) (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 tau x))) (PI.f32)) (neg.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) (PI.f32)) #s(literal -1/6 binary32) (PI.f32)) x)))) (*.f32 x (*.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) tau) (neg.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 (*.f32 (PI.f32) x) (neg.f32 (*.f32 (PI.f32) x))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau 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) x) (PI.f32)) x))))) (*.f32 (*.f32 tau x) (PI.f32)))
Calls

4 calls:

52.0ms
(*.f32 x (PI.f32))
44.0ms
x
42.0ms
tau
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
84.1%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))))
84.1%1tau
84.1%1(*.f32 x (PI.f32))
84.1%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes70.0ms (1%)

Memory
22.2MiB live, 124.5MiB allocated; 15ms collecting garbage
Counts
56 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (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))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (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))))
15.0ms
(*.f32 x (PI.f32))
14.0ms
tau
14.0ms
x
Results
AccuracySegmentsBranch
84.1%1tau
84.1%1(*.f32 x (PI.f32))
84.1%1x
84.1%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes59.0ms (0.9%)

Memory
-10.8MiB live, 132.6MiB allocated; 5ms collecting garbage
Counts
54 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (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))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #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 tau x) (PI.f32)))
Calls

4 calls:

15.0ms
tau
14.0ms
x
13.0ms
(*.f32 x (PI.f32))
13.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
84.1%1tau
84.1%1(*.f32 x (PI.f32))
84.1%1x
84.1%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes55.0ms (0.8%)

Memory
1.0MiB live, 141.5MiB allocated; 3ms collecting garbage
Counts
51 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (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))) (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))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

4 calls:

14.0ms
tau
13.0ms
(*.f32 x (PI.f32))
13.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms
x
Results
AccuracySegmentsBranch
84.1%1(*.f32 x (PI.f32))
84.1%1x
84.1%1tau
84.1%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes55.0ms (0.8%)

Memory
3.4MiB live, 99.9MiB allocated; 4ms collecting garbage
Counts
50 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)))
Calls

4 calls:

14.0ms
(*.f32 x (PI.f32))
14.0ms
x
13.0ms
tau
12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
83.9%1tau
83.9%1(*.f32 x (PI.f32))
83.9%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))))
83.9%1x
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes72.0ms (1.1%)

Memory
10.3MiB live, 103.7MiB allocated; 3ms collecting garbage
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (*.f32 (*.f32 x tau) (PI.f32))))
Calls

4 calls:

27.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms
x
12.0ms
tau
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
83.9%1(*.f32 x (PI.f32))
83.9%1x
83.9%1tau
83.9%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)

regimes129.0ms (1.9%)

Memory
-1.1MiB live, 125.1MiB allocated; 55ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (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 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
Calls

4 calls:

46.0ms
tau
36.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
33.0ms
x
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
83.8%1tau
83.8%1(*.f32 x (PI.f32))
83.8%1x
83.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes96.0ms (1.4%)

Memory
-7.8MiB live, 84.9MiB allocated; 49ms collecting garbage
Counts
46 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #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) x) (PI.f32)) 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) (PI)) (* x x)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) x) tau)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (*.f32 x tau) (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(literal 1 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x tau)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) tau (*.f32 (*.f32 (*.f32 tau tau) tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 tau x) (PI.f32)))
(/.f32 #s(approx (* (/ (sin (* (* x tau) (PI))) tau) (sin (* x (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (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 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) #s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) (PI.f32)) (*.f32 tau tau)) #s(literal -1/6 binary32) (PI.f32)) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
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) x) (PI.f32)) 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))))
Calls

4 calls:

47.0ms
tau
24.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
11.0ms
x
11.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
77.2%1tau
77.2%1(*.f32 x (PI.f32))
77.2%1x
77.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes38.0ms (0.6%)

Memory
7.0MiB live, 55.9MiB allocated; 5ms collecting garbage
Counts
32 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau)))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* (* x tau) (PI))) (*.f32 (PI.f32) (*.f32 tau x))) (*.f32 (PI.f32) x)) (neg.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 tau (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
Outputs
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) tau)))
Calls

4 calls:

11.0ms
x
8.0ms
tau
8.0ms
(*.f32 x (PI.f32))
8.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
77.1%1(*.f32 x (PI.f32))
77.1%1x
77.1%1tau
77.1%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes32.0ms (0.5%)

Memory
22.5MiB live, 69.0MiB 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal 1 binary32)) tau)))
Outputs
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x) #s(literal 1 binary32)) tau)))
Calls

4 calls:

8.0ms
x
7.0ms
tau
7.0ms
(*.f32 x (PI.f32))
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
77.1%1(*.f32 x (PI.f32))
77.1%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))))
77.1%1x
77.1%1tau
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes38.0ms (0.6%)

Memory
-33.0MiB live, 108.7MiB allocated; 17ms collecting garbage
Counts
26 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) 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) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(literal 1 binary32) tau (*.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)))) (*.f32 tau tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x)) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) tau))) (*.f32 x x)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 (*.f32 #s(approx (/ (sin (* (* x tau) (PI))) tau) (*.f32 (PI.f32) x)) #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal -1/6 binary32) (PI.f32)) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (neg (sin (* x (PI))))) (* tau (neg (* (PI) x)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
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))))
11.0ms
x
8.0ms
(*.f32 x (PI.f32))
7.0ms
tau
Results
AccuracySegmentsBranch
76.8%1(*.f32 x (PI.f32))
76.8%1x
76.8%1tau
76.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes20.0ms (0.3%)

Memory
19.2MiB live, 66.4MiB allocated; 1ms collecting garbage
Counts
17 → 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)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32) #s(literal 1 binary32)) tau)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 #s(approx (* (* (PI) x) (PI)) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) tau) (sin (* (PI) x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
Outputs
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
Calls

4 calls:

5.0ms
tau
5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms
x
5.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
64.1%1(*.f32 x (PI.f32))
64.1%1x
64.1%1tau
64.1%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes11.0ms (0.2%)

Memory
-22.4MiB live, 23.5MiB allocated; 3ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
Outputs
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (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))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
Calls

4 calls:

4.0ms
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
x
Results
AccuracySegmentsBranch
64.1%1tau
64.1%1(*.f32 x (PI.f32))
64.1%1x
64.1%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))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes8.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Accuracy

Total -19.1b remaining (-162.4%)

Threshold costs -19.1b (-162.4%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) #s(literal 1 binary32)) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) (PI.f32)))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) tau) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) x) tau) #s(literal -1/6 binary32)))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (PI.f32))) tau)) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
2.0ms
tau
Results
AccuracySegmentsBranch
63.2%1tau
63.2%1(*.f32 x (PI.f32))
63.2%1x
63.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations723.0ms (10.7%)

Memory
36.0MiB live, 782.6MiB allocated; 116ms collecting garbage
Stop Event
fuel
Compiler

Compiled 506 to 164 computations (67.6% saved)

preprocess248.0ms (3.7%)

Memory
-25.9MiB live, 502.8MiB allocated; 49ms collecting garbage
Remove

(abs tau)

(abs x)

Compiler

Compiled 3 399 to 2 226 computations (34.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...